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PROFESSOR IOAN POP

FACULTY OF MATHEMATICS

UNIVERSITY OF CLUJ

R-3400, CLUJ, CP-253

ROMANIA

E-MAIL : popi@math.ubbcluj.ro

PROFESSOR LOKENATH DEBNATH

DEPARTMENT OF MATHEMATICS

UNIVERSITY OF CENTRAL FLORIDA

ORLANDO

FLORIDA 32816-6990

U. S. A.
E-MAIL : ldebnath@pegasus.cc.ucf.edu

DR. H. S. TAKHAR, D.Sc.

THE MANCHESTER SCHOOL OF ENGINEERING

THE UNIVERSITY OF MANCHESTER

OXFORD ROAD

MANCHESTER, M139PL

U.K.

E-MAIL: hstakhar@man.ac.uk

PROFESSOR NAVTEJ SINGH

DEPARTMENT OF AEROSPACE ENGINEERING

INDIAN INSTITUTE OF TECHNOLOGY, KHARAGPUR

KHARAGPUR – 721302

WEST-BENGAL

E-MAIL: nsingh@aero.iitkgp.ernet.in

FROM:

PROFESSOR G. NATH

FLAT NO. B-20

MAHADEV-NAGAR COLONY

SARANG TALAB

P.O.- TAPAVAN ASHRAM

VARANASI – 221 007

U. P.
TO: FROM:

DR. SATYAJIT ROY PROFESSOR G. NATH

DEPARTMENT OF MATHEMATICS FLAT NO. B-20

I.I.T., MADRAS MAHADEV-NAGAR COLONY

CHENNAI – 600 036 SARANG TALAB

P.O.- TAPAVAN ASHRAM

VARANASI – 221 007

TO :

PROFESSOR G. NATH

FLAT NO: B-20,

MAHADEO NAGAR COLONY

SARANG TALAB P.O.—TAPAVAN ASHRAM

(Via : SARANATH)

VARANASI--- 221 007, U. P.

TO :

DR. SATYAJIT ROY

DEPARTMENT OF MATHEMATICS

INDIAN INSTITUTE OF TECHNOLOGY

MADRAS

CHENNAI – 600 036

The Chairman,

CCE, IITM,

Chennai.
Dear Sir,

I would like to inform you that I have taken Rs. 10,000/- as temporary advance (No. CCE/15 dated 28^th June and No. CCE/21 dated 5^th July 2000) for the short term course entitled “Modelling and Simulation of Fluid Flow Problems in Industry” held during 23-24 June 2000. Further, I want to inform you that the total expenses of the above said course is turned out to Rs 13,630/- for which the necessary bills are attached herewith and the details below:

Contingency ( Stationary and consumable items) : Rs. 10, 630 /-

Remuneration for lectures etc. : Rs. 3,000 /-

( 9 lectures @Rs.300/- per hour = Rs.2700/-

& 2 attenders Rs.300/-)

I request to make arrangement for the final settlement of the same and reimburse the extra amount Rs.3,630/- to me.
Thanking you Yours sincerely,

(SATYAJIT ROY, Coordinator)

Sl.No Bill No. & Date Name of Firm Amounts
1. 54121 & 05.07.2000 IIT, TARAMANI GUEST HOUSE Rs. 4080.00
2. 456 & 24.06.2000 RBG RESTAURANT Rs. 200.00
3. 228 & 22.06.2000 NANDHINEE PR.SGPP.PVT.LTD Rs. 330.00
4. NIL & 22.06.2000 SELVASELAN STORES Rs. 20.00
5. 185 & 23.06.2000 ADYAR STUDENTS XEROX Rs. 180.00
6. 531 & 15.06.2000 SHARP XEROX Rs. 137.00
7. 473 & 22.06.2000 VANDANA FANCY HOUSE Rs. 33.00
8. 603 & 22.06.2000 UMA STORES Rs. 20.00

Sl.No BILLNo. & DATE NAME OF FIRM AMOUNTS
1. 1115 & 22.06.2000 SYED BAG INDUSTRIES Rs. 1060.00
2. 191 & 20.06.2000 LINGAM ARTS Rs. 480.00

3. 7069 & 22.06.2000 SRI GURUNATH DEPARTMENTAL STORES Rs. 229.75
4. 6962 & 22.06.2000 SRI GURUNATH DEPARTMENTAL STORES Rs. 135.00
5. 6961 & 22.06.2000 SRI GURUNATH DEPARTMENTAL STORES Rs. 708.30
6. 667 & 04.08.2000 SHARP XEROX Rs. 1029.00
7. 534 & 22.06.2000 SHARP XEROX Rs. 20.00
8. 533 & 22.06.2000 SHARP XEROX Rs. 394.00
9. 697 & 15.08.2000 SHARP XEROX Rs. 512.00
10. 936 & 28.06.2000 RBG RESTAURANT Rs. 993.00
11. 5036 & 22.06.2000 NEW GEETHA STUDIO & XEROX Rs. 20.00
12. 172 & 22.06.2000 TECHNOGRAFIX Rs. 35.00
13. 36030& 22.06.2000 NEW LATA FANCY HALL Rs. 24.00

RENUMERATION BILLS Rs. 3000.00

LECTURES (@ Rs. 300/HOUR) = 2700/-

ATTENDERS (Rs.200 + Rs. 100) =300/-

SI.No. AMOUNT RECEIPT No. DATE PAY-IN-SLIP BALANCE

No. AMOUNT AS PER

PAY-IN-SLIP

1. Rs.2000/- 4210 27.06.2000 1

2. Rs.2000/- 4211 27.06.2000 1

3. Rs.2000/- 4212 27.06.2000 1

4. Rs.4000/- 4213 27.06.2000 1

5. Rs.2000/- 4205 27.06.2000 2

6. Rs.2000/- 4206 27.06.2000 2

7. Rs.2000/- 4207 27.06.2000 2

8. Rs.2000/- 4208 27.06.2000 2

9. Rs.2000/- 4209 27.06.2000 2

To: DATE : 27.4.2004

THE DEAN,

ADMINISTRATOIN, IIT Madras.

Dear Sir,

I would like to inform you that I have shifted my residence from Qr.No. D-2-9 to C1-6-11. I request you to provide me the official telephone connection with the old number 9492 to my new residence Qr.No. C1-6-11.

Thanking you,

Yours sincerely,

(SATYAJIT ROY)

SI.NO. Name of the firm Amount(in Rs.)

1. SRI GURUNATH DEPARTMENTAL STORES 19.50

2. SRI GURUNATH DEPARTMENTAL STORES 158.50

3. SRI GURUNATH DEPARTMENTAL STORES 138.50

4. SRI GURUNATH DEPARTMENTAL STORES 109.50

5. SRI GURUNATH DEPARTMENTAL STORES 126.00

6. SRI GURUNATH DEPARTMENTAL STORES 9.00

7. SRI GURUNATH DEPARTMENTAL STORES 387.50

8. SRI GURUNATH DEPARTMENTAL STORES 562.00

9. SHARP XEROX 23.00

10. SHARP XEROX 44.00

11. SHARP XEROX 84.00

12. SHARP XEROX 237.95

13. RAJA XEROX & PRINTS 163.05

14. RAJA XEROX & PRINTS 144.60

15. STUDENTS XEROX 90.00

16. INDIAN XEROX 47.00

17. SHARP XEROX 395.00

18. SHARP XEROX 205.00

------------ TOTAL Rs.2944.10

(Rupees two thousand nine hundred forty four and paise ten only) ----------
S.R.M. ENGINEERING COLLEGE

S. R. M. Nagar, KATTANKULATHUR – 603 203

KANCHEEPURAM – DISTRICT

TAMIL NADU, INDIA

Fax:091-04114-52343 E-Mail : srmec@giasmd01.vsnl.net.in

___________________________________________________________________________

From: Dr. S. V. SUBHASHINI Date: June 18, 2003

Lecturer, Department Of Mathematics
To: The Principal,

SRM Engineering College

Through : The Head of the Department of Mathematics

Sir,

I would like to inform you that I am working as Lecturer in the Department of Mathematics since June 16, 1999, and I have completed four years of continuous service in your institute.
I request you to kindly consider my candidature for the post of Senior Lecturer in the Department of Mathematics of your institute. I am enclosing herewith my complete CV and a copy of one of my recent research paper published in International Journal of Thermal Sciences for your perusal.

Yours faithfully

(DR. S. V. SUBHASHINI)

From:

Dr. SATYAJIT ROY,

Assistant Professor,

Department of Mathematics,

Indian Institute of Technology Madras,

CHENNAI – 600 036, INDIA

Professor H. S. TAKHAR

DEPARTMENT OF ENGINEERING

THE MANCHESTER METROPOLITAN

UNIVERSITY

JOHN DALTON BUILDING,

CHESTER STREET

MANCHESTER, M1 5GD

U.K.
REGISTERED AIR-MAIL

PROFESSOR G. NATH

FLAT NO. B-20

MAHADEO-NAGAR COLONY

SARANG TALAB

P.O.- TAPAVAN ASHRAM

VARANASI – 221 007

U. P.

From: Date: APRIL 23, 2001

Dr. Satyajit Roy, Asst. Professor,

Department of Mathematics,

Project Co-ordinator (Project No. MAT9899015UGCSATY)

IIT Madras, Chennai – 600 036.

To:

THE DEAN,

IC&SR, IIT Madras.
Sub :- Request for the increase in fellowship of Project Fellow

Ref :- Project No. MAT9899015UGCSATY

Dear Sir,

I would like to inform you that Mr. P. Sai krishnan has been working in my project as a project fellow with fellowship Rs.3600/- per month and the appointment order is valid up to 28^th February 2002. Recently as per the publication of GATE results on 31^st March 2001, Mr. Sai krishnan has qualified the GATE examination with a score 91.77 percentile. At present, he is eligible for the fellowship of Rs.5000/- per month from the month of April, 2001 as per the rules for the payment of project fellow under UGC sponsor project (Copy enclosed).

I request you to make the arrangement for the payment of Mr. Saikrishnan as Rs.5000/- per month from the month of April 2001. Further, I request you to sent a contingent bill claiming the total increase amount due to the increment of the fellowship from April 2001 to February 2002.
Thanking you, yours sincerely

(SATYAJIT ROY)

From: Date: March 18, 2002

Dr. Satyajit Roy

Project Co-ordinator (Project No. MAT9899015UGCSATY)

To:

THE DEAN,

IC&SR, IIT Madras.

Dear Sir,

I would like to inform you that a payment of Rs. 6663 /- towards purchasing books has been entered under contingency head in the month of February 2002. I request you to arrange for making the entry of the same bill of Rs. 6663 /- under the head “Others” as sanctioned in the same project (Project No. MAT9899015UGCSATY). A copy of the present financial statement is enclosed herewith.

I request you to reimburse the amounts from the book grants of my project (Project No. MAT9899015UGCSATY) as mentioned below:
Book Sellers Amount to be paid in Cheque

1. Campus Book Stores Rs. 580/-

2. Campus Book Stores Rs. 2,672/-

3. Sucihtra Book Sellers Rs. 3,411/-

Thanking you, Yours sincerely,

(SATYAJIT ROY)

From: Date: June 15, 2001

Dr. Satyajit Roy, Asst. Professor,

Project Co-ordinator (Project No. MAT9899015UGCSATY)

IIT Madras, Chennai – 600 036.

To:

THE DEAN,

IC&SR, IIT Madras.

Dear Sir,

I would like to inform you that the expenditure for purchasing books of Rs. 8,260/- under my project (Project No. MAT9899015UGCSATY) has been deducted from the contingency grant of the project as shown in the financial statement for the period ending June 12, 2001(copy enclosed). I want to inform you that the above mentioned project has a grant for books of Rs.20,000/-(copy enclosed) which is mentioned under “Others” head in the enclosed financial statement.
I request you to make the arrangement so that the expenditure for purchasing books of the same amount Rs.8,260/- is deducted under the head “Others” as marked in the enclosed financial statement.

Thanking you, Yours sincerely,

(SATyajit Roy

SHEET – A : MIXED CONVECTION PROBLEMS
1(a) New self-similar solution of the unsteady mixed convection flow in the stagnation region of a rotating sphere.

Unsteady mixed convection flow over a rotating sphere due to an impulsive motion.

( Semi-similar case)

Unsteady mixed convection flow on a rotating vertical thin cylinder in an axial flow.

Unsteady mixed convection heat and mass transfer on a moving vertical slender cylinder

[Ref.(I) T.Y.Wang&C.Kleinstrever, JHT(1989) (ii) Eswara & Nath Acta Mech.(1992)]

4.(a) Unsteady mixed convection flow on a rotating cone in a co-rotating fluid(Self-similar)

Unsteady mixed convection flow on a rotating cone in a co-rotating fluid(Semi-similar)

5. Unsteady mixed convection flow over a vertical flat plate due to the combined effects

of thermal and mass diffusion.

PART – B : FORCED CONVECTION PROBLEMS
1(a) Non-uniform mass transfer into a steady laminar water boundary layer over a rotating

sphere

Effect of non-uniform fluid properties on unsteady non-similar incompressible flow over a rotating sphere.

2.(a) Non-uniform mass transfer into a steady laminar water boundary layer over an yawed

cylinder

Effect of non-uniform fluid properties on unsteady non-similar incompressible flow

Over an yawed cylinder.

Non-uniform mass transfer into a water boundary layer over 2D and axi-symmetric

Bodies [Ref. Eswara and Nath, Int.J.Engg. Sc. 1994]

Effect of non-uniform slot injection(suction) or wall temperature on the steady forced

Convection flow over a slender cylinder.

PART – C

Steady non-similar hypersonic boundary layer flow with viscous interaction[slot injection./ suction can be included]

[Ref. (I) W.S. King & R.L. Varwig, IJHMT(1971) (ii) C.M.Rodkhewicz, AIAA J.(1974)]

Unsteady laminar boundary layer mixed convection flow over a cone with suction and injection.

[Refs. T. Watanabe, Q.A.M.Vol.56, pp.145-146(1988)]

Unsteady mixed convection flow in a rectangular cavity with localized heating.

4. Unsteady mixed convection flow over a non-isothermal horizontal flat plate.

[Refs. Risbeck, W.R., Chen.T.S. & Armaly,B.F., IJHMT (1993)]

(One M.Tech student has started this for his M.Tech. Thesis in this year]

From: Date: February 4, 2002

Dr. Satyajit Roy, Asst. Professor,

Project Co-ordinator (Project No. MAT9899015UGCSATY)

IIT Madras, Chennai – 600 036.

To:

THE DEAN,

IC&SR, IIT Madras.

Dear Sir,

I would like to inform you that I have purchased one HP Laser Jet Toner from GURUNATH STORES for my Laser printer. The bill with details of quotations etc. is attached herewith for the processing of the same.
I request you to pay the amount of Rs. 3,100/- (Rupees three thousand one hundred only) to GURUNATH STORES from the contingency grants of my project (Project No. MAT9899015UGCSATY)

Thanking you, Yours sincerely,

(SATYAJIT ROY)

From: Date: March 18, 2002

Dr. Satyajit Roy

Project Co-ordinator (Project No. MAT9899015UGCSATY)

To:

THE DEAN,

IC&SR, IIT Madras.

Dear Sir,

I would like to inform you that a payment of Rs. 6663 /- towards purchasing books has been entered under contingency head in the month of February 2002.

I request you to arrange for making the entry of the same bill of Rs. 6663 /- under the head “Others” as sanctioned in the same project (Project No. MAT9899015UGCSATY). A copy of the present financial statement is enclosed herewith.

Thanking you, yours sincerely,

(SATYAJIT ROY)

TO:

PROFESSOR G. NATH

FLAT NO. B-20

MAHADEV-NAGAR COLONY

SARANG TALAB

P.O.- TAPAVAN ASHRAM

VARANASI – 221 007, (U.P.)

From:

Dr. SATYAJIT ROY,

Assistant Professor,

Department of Mathematics,

Indian Institute of Technology Madras,

CHENNAI – 600 036, INDIA

Registered Post Registered Post

TO:

Dr. SATYAJIT ROY,

Assistant Professor,

Department of Mathematics,

Indian Institute of Technology Madras,

CHENNAI – 600 036, INDIA

FROM:

PROFESSOR G. NATH

FLAT NO. B-20

MAHADEV-NAGAR COLONY

SARANG TALAB

P.O.- TAPAVAN ASHRAM

VARANASI – 221 007, (U.P.)

From:

Dr. SATYAJIT ROY,

Assistant Professor,

Department of Mathematics,

Indian Institute of Technology Madras,

CHENNAI – 600 036, INDIA

Professor Giuseppe Rega

Editor, MECCANICA

Dipartimento Ing. Strutturale e Geotecnica

Univ. di Roma “La Sapienza”

Via Eudossiana 18 – 00184

ROMA, ITALY

Registered Air-Mail

Professor André LALLEMAND

CETHIL

Bâtiment Sadi Carnot

INSA de Lyon

9, rue de la Physique

69621 – VILLEURBANNE cedex

FRANCE

Registered AIR-MAIL

RECEIPT

Received Rs.2000/- as remuneration (Rs.1000/- per lecture) for delivering two lectures in “Workshop on Applied Mathematics in Shipping Industry and Marine Technology” during 21^st to 23^rd June, 2002 held at IIT Madras, Chennai – 600 036.

Prof. S. C. Misra

I.I.T. Kharagpure (W.B.) ( S. C. Misra)

RECEIPT

Received Rs.1000/- as remuneration (Rs.1000/- per lecture) for delivering one lecture in “Workshop on Applied Mathematics in Shipping Industry and Marine Technology” during 21^st to 23^rd June, 2002 held at IIT Madras, Chennai – 600 036.

Dr. S. Sundar, Deptt. Of Maths.

I.I.T. Madras ( S.Sundar)

RECEIPT

Dr. P. Misra

Mumbai ( P. Misra)

RECEIPT

Prof. S.N. Majhi, Deptt. Of Maths.

I.I.T. Madras ( S.N. Majhi)

RECEIPT

Prof. S. K. Bhattacharya, Deptt. Of Ocean Engg.

I.I.T. Madras ( S. K. Bhattacharya)

RECEIPT

Prof. V.G. Idichandy, Deptt. Of Ocean Engg.

I.I.T. Madras ( V.G.Idichandy)

ENVIRONMENTAL STUDIES

CLASS – III, SECTION – A Registered AIR-MAIL

VENKAT SUMAN ROY

From: Date: August 22, 2002

Dr. Satyajit Roy, Asst. Professor,

Project Co-ordinator (Project No. MAT9899015UGCSATY)

IIT Madras, Chennai – 600 036.

To:

THE DEAN,

IC&SR, IIT Madras.

Dear Sir,
I would like to inform you that I have purchased one HP Laser Jet 1220 printer from “VITAGE SYSTEMS PRIVATE LIMITED” for my project work. The invoice cum delivery challan is attached herewith for the processing of the same.
I request you to pay the amount of Rs. 29,800/- (Rupees twenty nine thousand eight hundred only) to “VITAGE SYSTEMS PRIVATE LIMITED” from the equipment grants of my project (Project No. MAT9899015UGCSATY)

Thanking you, Yours sincerely,

(SATYAJIT ROY)

To: August 23, 2002

THE DEAN,

IC&SR, IIT Madras.

Through : The Head - Department of the Mathematics.

Sub : Submission of project proposal to MHRD under R & D scheme for the year 2002 – 2003.

Dear Sir,

I am sending herewith a project proposal entitled “Non-Uniform single/ multiple slot injection (suction) into water boundary layer flows” for the submission to the Ministry of Human Resource Development (MHRD), Government of India, New Delhi under Research and Development (R & D) scheme for the year 2002 – 2003.

Thanking you yours sincerely

(SATYAJIT ROY)

Audited Utilisation Certificate

in respect of the expenditure incurred on the project

“Inverse problems in boundary layer flows”

1. For the period 01.04.1999 to 31.03.2000

2. For the period 01.04.2000 to 31.03.2001
3. For the period 01.04.2001 to 31.03.2002
4. For the period 01.04.2002 to 30.09.2002

From Date: October 24^th, 2002

Dr. Satyajit Roy,

Principal Investigator,
To

The Joint Director,

(Dr. H. K. Chauhan)

UGC, New Delhi
Through:The Dean, IC&SR, IIT Madras
Sub: Major research project final settlement – regarding

Reference No: F - 8 – 4/97 (SR – 1)
Dear Sir/Madam,

I would like to inform you that the three years tenure of the major research project entitled “Inverse problems in boundary layer flows” is completed on 05.08.2002. I am sending herewith the following documents as required by the University Grants Commission for the final settlements of the referred project:

Two bound copies of the final report of work done on the project in book form
Audited utilisation Certificate in respect of the expenditure incurred on the project from 06.08.1999 to 05.08.2002
Final item wise statements of expenditure incurred on the project from 06.08.1999 to 05.08.2002 as per the format supplied by the commission.
Details of month wise payment to the project fellow

I request you to issue a certificate regarding the completion and final settlement of the project after receiving the above final documents.
Thanking you, yours sincerely,

(SATYAJIT ROY)

From Date: October 24^th, 2002

Dr. Satyajit Roy,

Principal Investigator,

Project No.- MAT9899015UGCSATY

To

The Dean, IC&SR,

IIT Madras

Dear Sir,

I would like to request you to forward the following project documents to the sponsoring agency, UGC, New Delhi as required by the Commission for the final settlement of the research project entitled “Inverse problems in boundary layer flows” (MAT9899015UGCSATY)
Thanking you, yours sincerely,

(SATYAJIT ROY)

To November 1, 2002

The Dean, Academic Research

I.I.T. Madras

Through: The Head of the Department of Mathematics, IIT Madras

Dear Sir,

Sub: Permission regarding Guiding Research Scholar at Other Institute
I would like to inform you that Mr. Prabal Dutta has obtained his M. Tech. Degree in Industrial Mathematics and Scientific Computing from I.I.T. Madras in July 2002 and joined as a faculty in the Department of Applied Mathematics, B.I.T. Mesra. I was his M.Tech thesis guide in the Department of Mathematics, I.I.T. Madras.
At present, he wants to register for Ph.D. programme in his Institute, B.I.T. Mesra and I have also received the request from the Head of the Department of Applied Mathematics, B.I.T., Mesra (Copy enclosed) to serve as Co-Guide of Mr. Prabal Dutta’s research work.
I request you to kindly permit me to serve as a Co-Guide of Mr. Dutta’s research work in the Ph.D. programme at B.I.T. Mesra
Thanking you

Yours Sincerely

(SATYAJIT ROY)

To

Professor A. C. Eringen,

Editor in-chief,

Int. J. Engg. Science.

CERTIFICATE

We certify and ensure that this work entitled “NON-UNIFORM SLOT INJECTION (SUCTION) INTO WATER BOUNDARY LAYERS OVER i) A CYLINDER AND ii) A SPHERE” has not been published yet nor communicated for publication elsewhere.

Signature(s):

P. SAIKRISHNAN, Dr. SATYAJIT ROY,

Research scholar, Asst. Professor,

Dept. of Mathematics, Dept. of Mathematics,

IIT Madras, Chennai – 600 036 IIT Madras, Chennai – 600 036.

India.

To Date : 20 November 2002
Professor A. C. Eringen,

Editor in-chief,

Int. J. Engg. Science.

Dear Sir,
Received your letter dated November 4, 2002 regarding the acceptance of our paper manuscript (MS#8503) : “NON-UNIFORM SLOT INJECTION (SUCTION) INTO WATER BOUNDARY LAYERS OVER i) A CYLINDER AND ii) A SPHERE”.
I have enclosed herewith certificate, manuscript transmittal form duly filled, a floppy disk containing the text in Tex format and a copy of our manuscript.

Thanking you yours sincerely,

(SATYAJIT ROY)

From Date: March 21^st , 2003

Dr. Satyajit Roy,

Principal Investigator,
To

The Joint Director,

(Dr. H. K. Chauhan)

UGC, New Delhi

Sub: Major research project final settlement – regarding

Reference No: F - 8 – 4/97 (SR – 1)
Dear Sir/Madam,

I would like to inform you that I have sent the following documents in October 2002 as required by the University Grants Commission for the final settlements of the referred project:

Two bound copies of the final report of work done on the project in book form
Audited utilisation Certificate in respect of the expenditure incurred on the project from 06.08.1999 to 05.08.2002
Final item wise statements of expenditure incurred on the project from 06.08.1999 to 05.08.2002 as per the format supplied by the commission.
Details of month wise payment to the project fellow

I had also requested you to issue a certificate regarding the completion and final settlement of the project after receiving the above documents.

I am further enclosing two reprints of our paper published recently in international journals and the work was carried out under this project. Again I request you to accelerate the evaluation process of our project report and issue a certificate regarding the completion of the project work.
Thanking you, yours sincerely,

(SATYAJIT ROY)

SUMMER TERM COURSE : MA –102
Room No. HSB-239A Time : 3:30 PM to 5:30 PM
From 22^nd April onwards

Dr. Satyajit Roy

SUMMER TERM COURSE : MA –102
Room No. HSB-239A Time : 3:30 PM to 5:30 PM
From 22^nd April onwards

Dr. Satyajit Roy

To: The Dean, IC & SR Date : 17 – 11 – 2003

I. I. T. Madras

Through: The Head of the Department of Mathematics, I.I.T. Madras

Dear Sir,

Subject: Endorsement from the Head of the Institute to execute a Research Project of DST under Fast Track Young Scientist Scheme

I am enclosing an application of Dr. Trishna Paul for the post of Research Associate to work in the Department of Mathematics, I.I.T. Madras in a SERC Fast Track Young Scientist scheme of DST along with the necessary documents. I would like to inform you that I am interested to work with Dr. Trishna Paul under this Research Project.

I request you to take the necessary action for the endorsement from the Head of the Institute to execute the above mentioned Research Project of DST at I.I.T. Madras, Chennai – 600 036.

Thanking you.

Yours sincerely

(SATYAJIT ROY

REFERENCES

S. Roy, "Non-uniform slot injection (suction) into a compressible flow", Acta Mechanica, Vol. 139, pp. 43 - 56, 2000.

2. S. Roy, "Non-uniform multiple slot injection (Suction) or wall enthalpy into a steady compressible laminar boundary layer", Acta Mechanica, Vol. 143, pp. 113 - 128, 2000.

3. S. Roy, "Non-uniform mass transfer or wall enthalpy into a compressible boundary layer flow over yawed cylinder", Int. J. Heat and Mass Transfer, Vol.44, No.16, pp. 3017-3024, 2001.

4. P. Saikrishnan and S. Roy, "Steady non-similar axi-symmetric water boundary layers with variable viscosity and Prandtl number",Acta Mechanica, Vol.157, pp.187-199, 2002.

5. S. Roy and H. S. Takhar, "Compressible boundary layer flow over i) a Cylinder and ii) a Sphere with non-uniform slot injection ( Suction)",Heat and Mass Transfer, Vol. 39, pp. 139-146, 2003

6. P. Saikrishnan and S.Roy, "Non-uniform slot injection (Suction) into water boundary layers over i) a cylinder and ii) a sphere", International Journal of Engineering Science, Vol.41, pp. 1351 - 1365, 2003

7. S. Roy and P. Saikrishnan, "Non-uniform slot injection (suction) into steady laminar water boundary layer flow over a rotating sphere", International Journal of Heat and Mass transfer, Vol. 46, pp. 3389-3396, 2003.

8. S. Roy and P. Saikrishnan, “Non-uniform slot injection (suction) into water boundary layer flow past yawed cylinder”, International Journal of Engineering Science, Vol.42, pp. 2147 - 2157, 2004.

Sl.No.	Name and Adresses with Telephone/Fax/E-Mail	Brief Resume about the Examiner	Nomn by DAR
1	Prof. H.S. Takhar Dept. of Engineering and Technology

COMMENTS FOR THE AUTHOR

Authors have considered an interesting problem in the area of Convective Heat Transfer. This paper can be published in IJPAM with the following modifications:

Table 1-3 may be removed. It is needed to include a figure as Fig.6 which should be plotted for steady state average Nu verses Gr for λ = 0 , 0.5 or 1.0 and Pr = 0.05, 0.7 and 10.0 with the ranges of Gr = 20, 000 to 200, 000.
References of recent studies on variable viscosities for incompressible fluids (water) with viscosity data table and natural convection in a square cavity can be included as :
1. "Steady non-similar axi-symmetric water boundary layers withvariable viscosity and Prandtl number" by P. Saikrishnan and S. Roy, Acta Mechanica, Vol.157, pp.187-199, 2002.
2. "Non-uniform slot injection (suction) into steady laminar water boundary layer flow over a rotating sphere" by S. Roy and P. Saikrishnan, International Journal of Heat and Mass transfer, Vol.46, pp.3389-3396, 2003.
3. "Non-uniform slot injection (suction) into water boundary layer flow past yawed cylinder" by S. Roy and P. Saikrishnan, International Journal of Engineering Science,Vol.42,pp.2147 -2157, 2004.
4. "Finite element analysis of natural convection flows in a square cavity with non-uniformly heated wall(s)", S. Roy and Tanmay Basak, International Journal of Engineering Science,Vol.43, pp.668 - 680, 2005.

Authors have discussed in detailed the flow and thermal fields along with the overall heat transfer rates at the wall for a natural convection flow in a square cavity with a built-in heated plate. The investigation can be considered as a useful contribution. I recommend the paper for publication in INT. J. Thermal Science after taking care of the following modifications:

Page-5, line-3 from the top, θ = θ₀ should be θ = θ_c .
Page-8, in the para just before conclusion, “overall heat transfer for higher Gr stays almost the same in both situations while heat transfer is higher for vertical situation than horizontal one for small Gr” ----these lines should be corrected because Fig.14 shows that Nu is higher for vertical situation.
Two recent references should be included as :
1. S. Roy, Tanmay Basak, Finite element analysis of natural convection flows in a square cavity with non-uniformly heated wall(s), International Journal of Engineering Science,Vol. 43, pp.668 - 680, 2005.
2. M. Corcione, Effects of the thermal boundary conditions at the side walls upon natural convection in rectangular enclosures heated from below and cooled from above, Int. J. Thermal Science, Vol. 42, pp. 199-208, 2003

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