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    Tata Technologies Limited

    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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    Tata Technologies Limited

    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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    Tata Technologies Limited

    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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    Tata Technologies Limited

    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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    Tata Technologies Limited

    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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    Tata Technologies Limited

    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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    Tata Technologies Limited

    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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    Tata Technologies Limited

    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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    Tata Technologies Limited1

    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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    Tata Technologies Limited1

    Fig. 1.2: Presence of Tata Technologies over the globe

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    Tata Technologies Limited1

    Fig. 1.3: Product Cycle at Tata Technologies (1