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A Report on

1D and 2D heat transfer project(including a general overview of company)

Aerospace DepartmentTATA Technologies Limited, Hinjewadi

By:

Vishesh Gupta 2011A4PS273P

At

TATA Technologies Limited, Hinjewadi, Pune

A Practice School I station of

Birla Institute of Technology and Science,

Pilani, Rajasthan

July, 2013

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Tata Technologies Limited

A Report on

1D and 2D heat transfer project

(including a general overview of company)

Aerospace Department

TATA Technologies Limited, Hinjewadi

By:

Vishesh Gupta 2011A4PS273P

Prepared in partial fulfillment of the

Practice school I Course

At

TATA Technologies Limited, Hinjewadi, Pune

A Practice School I station of

Birla Institute of Technology and Science,

Pilani, Rajasthan

July, 2013

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Acknowledgement

I am grateful to Tata Technologies Limited for giving me this

opportunity to gain experience at the organization and forgiving me invaluable guidance right at the start.

I would also like to thank Mr Sumeet Dhar (Project Manager),

Mrs Prachi Dhadheech (HR) for their valuable support

throughout our tenure. I would like to make a special mention

of Vinay Shekhar (employee at the aerospace department) for

providing me deep insight at crucial junctures of my project

and small helps in debugging the code. I would also like toextend my gratitude towards Mr Manoj (aerospace project

manager) for giving me the freedom to work through my

project and patiently listening to my queries and explanations

also giving worthy advice. I would further like to express my

gratitude towards Dr Biswadip Shome for giving me worthy

suggestions and sufficient time to extend my project to 2D

analysis in the short time I worked under him.

I would finally like to thank Dr Ranjit Patil( PS Instructor

from BITS Pilani) for being a constant source of motivation for

me throughout my internship at Tata Technologies.

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Birla Institute of Technology and Science

Pilani (Rajasthan)

Practice School Division

Station: Tata Technologies Ltd. Centre: Hinjewadi,

Pune

Duration: 53 Days Date of Start: 22/05/2013Date of Submission: 07/07/2013

Title of Project: Simulation tool for a floor fire test

and the behavior of the material in the test by modeling

of a transient heat transfer process through a series of

slabs.

Name of Student I.D.No. Discipline

Vishesh Gupta 2011A4PS273P B.E. Mechanical

Name and designation of experts:

Dr Biswadip Shome (Head Aerospace Design &

Validation)

Manoj Radle (Project Manager)Name of PS Faculty: Dr. Ranjit Patil

Key words: heat transfer, finite difference analysis

Project Areas: transient heat transfer, partial

differential equations, fully implicit FDM

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Abstract

This project report has been primarily divided into four

chapters. Chapter 1 deals with company information. Chapters

2, 3 and 4 give detailed analysis of my project related work.

Chapter 1 aims at giving a general overview of the company,

mainly information pertaining to what was observed during

the orientation sessions.

Chapter 2 deals with 1 dimensional heat transfer solved by the

analytical method using techniques like transformation of non-

homogenous boundary conditions to homogenous boundary

conditions by superposition principle, separation of variables

and Greens function.

Chapter 3 concerns with the numerical approach adopted to

solving the 1D heat transfer problem. The fully implicit finite

difference scheme has been utilized here which is

unconditionally stable and convergent. The matrix formed has

been solved both directly using in-built MATLAB methods as

well as Gauss-Seidel iterative procedures.

Finally, Chapter 4 showcases the 2D heat transfer problem

solved by a numerical approach which uses a slight variant of

the fully implicit finite difference scheme called the alternating

direction implicit method (ADI).

Signature (Student) Signature (Project Guide) Signature (PS Faculty)

Date: Date: Date:

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Table of Contents

S No. Topic Page No.

1 CHAPTER I

Introduction 5

Orientation Related Information 11

ERM 20

Software Partners 24

2 CHAPTER II

1D Analytical approach 34

Improvements & Conclusion 46

3 CHAPTER III

1D Numerical Approach 47

Improvements & Conclusion 58

4 CHAPTER IV

2D Numerical Approach 59

Improvements and Conclusion 70

5 Appendix A 71

6 Appendix B 777 Appendix C 87

8 References 92

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List Of Illustrations

Figures

Fig. 1.1 Tata overview

Fig. 1.2 Presence of Tata Technologies over the

globe

Fig. 1.3 Product Cycle at Tata TechnologiesFig. 1.4 Historical PerformanceFig. 1.5 Global initiatives to sustain and grow

employee engagement

Fig. 1.6 Risk Management ProcessFig. 1.7 Some clients of Tata TechnologiesFig. 1.8 Aerospace Design ProcedureFig. 1.9 Airplane structure components

Fig. 2.1 Time-Temperature Curve

Fig. 2.2 Values of source temperature and time

Fig. 2.3 Transient heat transfer through a

series of blocks

Fig. 3.1 1 dimensional heat transfer through a

series of blocks

Fig. 4.1 2 dimensional heat transfer through a

series of blocks

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Graphs

Graph 2.1 Variation of source and interface 1

temperature with time

Graph 2.2 Variation of source and interface 2temperature with time

Graph 2.3 Variation of source and all interfacetemperature with time

Graph 3.1 Variation of source and interfacetemperature with time by direct

solving of matrix

Graph 3.2 Variation of source and interfacetemperature with time (Gauss-Seidel

iteration)Graph 3.3 Variation of source and interface

temperature with time (both direct by

direct matrix and Gauss-Seidel

iteration)

Graph 3.4 Convergence of temperature at

particular time by Gauss-Seidel

iterations

Graph 4.1 Variation of node 1 temperatures of

all interfaces with time

Graph 4.2 Variation of temperature of all nodes

at top surface with timeGraph 4.3 Temperature of all nodes at 30 min at

top surface

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CHAPTER I

Introduction

The origins of Tata Technologies lie with disparate

organizations started in India, Europe and the USA over 20

years ago. Gradually the European and North American

companies came together until in 1989 a single entity emerged

INCAT. Following growth and acquisition, that company

firmly established itself in North America, Europe and Japan.

And in 2004, INCAT was launched on the London StockExchange. Tata Technologies started in Singapore in 1994 as a

provider of specialized IT enabled consulting, services and

products to leading manufacturers. Establishing itself in the

USA, UK and India, the companys first major outsourcing

contract was with Tata Motors. Then, in 2005, Tata

Technologies acquired INCAT.

Today, the enlarged company serves the major automotive andaerospace OEMs and their suppliers. Tata Technologies is

active in North America, Europe, the Middle East and the

Asia-Pacific region, and currently services all of the top ten

aerospace original equipment manufacturers (OEMs) and all of

the top ten automotive OEMs.

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The Tata group

Tata Technologies is part of the Tata group, one of Indias

oldest, largest and most respected businesses. Founded by

Jamsetji Tata in 1868, the group pioneered industries of

national importance to India: steel, power, hospitality and

airlines. With revenues over US $100 billion, the group today

has 3.2 million shareholders, more than 100 operating

companies in six continents and employs more than 450,000

people. It focuses on steel production, power generation,

commercial and passenger vehicles, chemicals, hotels, textiles,

consumer goods, consultancy, information technology and

telecommunications. Earning the trust and respect of millions

of stakeholders around the world, the group and its enterprises

have adhered to a rigorous set of business ethics and a strong

commitment to corporate social responsibility for over 140

years.

Fig. 1.1: Tata overview

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Fig. 1.2: Presence of Tata Technologies over the globe

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Fig. 1.3: Product Cycle at Tata Technologies (1