Syllabus

Module-I
Derivation of energy equation for conduction in three dimensions. Transient conduction- Concept of Biot number – Lumped capacitance formulation unsteady conduction from a semi-infinite solid-solution by similarity transformation method.

Module-II
Solution of the general 1D unsteady problem by separation of variables, Laplace equation – solution by variable separable method – concept of superposition and homogeneous boundary conditions. Numerical solution of conduction problems-Basic ideas of finite difference method –forward, backward and central differences –Discretization for the unsteady heat equation.

Module-III
Derivation of governing equation for convection. 2D laminar coquette flow and non-dimensional numbers. Concept of Adiabatic wall temperature. Integral methods for momentum and thermal boundary layers.

Module-IV
Pipe flow – concept of developed temperature profile and solutions for constant wall flux and constant wall temperature boundary conditions. Solution of entry length problem for constant wall and constant wall flux boundary conditions. Natural convection – governing equation, integral solution for flat surface.

Module-V
Derivation of black body radiation laws from first principles Need for view factors, concept of view factors, mathematical definition. Shape factor calculations. Radiosity, Irradiation method for gray diffuse enclosures. Gas Radiation.

Understanding the concept of conductive and convective heat transfer

Ability to address the problems in chemical engineering dealing with heat transfer

Helps to mitigate the basic requirement for conducting research in heat transfer

Enhances the thermal process behaviour modeling skill

After the completion of this course, the students will be able:

CO1: Understand the principles and mechanisms of heat conduction and develop a comprehensive understanding of its applications

CO2: Interpret the results to analyze the behavior of the system by gaining proficiency in solving problems related to one-dimensional unsteady-state heat conduction

CO3: Develop a deep understanding of convective heat transfer and design solutions to solve governing equations for both laminar flow and natural convection

CO4: Apply transient conduction concepts using lumped capacitance and similarity transformation methods to solve practical problems

CO5: Understand the development of momentum and thermal boundary layers in laminar flows, and compare different models to interpret their effects on heat transfer

J.P. Holman, Heat Transfer, McGraw-Hill Science/Engineering/Math , 2001

C.P. Gupta and R. Prakash, Engineering Heat Transfer, Nem Chand & Bros., Roorkee , 6th Edn, 1994

S.K. Das and A.R. Balakrishan, Process Heat Transfer, Alpha Science International Ltd. , 2005

Frank P. Incropera and David P. DeWitt, Fundamentals of Heat and Mass Transfer, Wiley , 1996