Heat and Mass Transfer With FDM/FVM

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Code(Credit) : T-P-Pj : 2-1-0

Course Objectives

To provide a good exposure for the students to various phenomena associated with fluid flow and different modes of heat & mass transfer

Learning Outcomes

Students will be able to analyze and design various Equipment used in industry using principles of Heat Transfer

Course Outcome

COs            Course outcomes                                     Mapping COs with POs

CO1             Able to gain knowledge on various

modes of heat transfer                                                                          PO1(3)

CO2            Able to resolve the heat transfer problems

in various equipment in industry                                                         PO2(3)

CO3            Able to analyze and design various equipment

used in industry using principles of heat transfer                            PO3(2)

Course Syllabus

Course Outline

Module I: Conduction ( 5 Hrs)

Fourier’s Law of Conduction, General Heat Conduction Equation in Different Coordinate Systems (No Derivation), One Dimensional Steady State Conduction in Plane Wall, Composite Wall, One Dimensional Steady State Conduction in Composite Cylinders and Composite Spheres with Convective Atmosphere. Electrical Analogy, Conduction with Internal Heat Generation.

Practice

1. To find the thermal conductivity of a material by the two slabs guarded hot plate method.

2. To find heat transfer through composite wall using Simulia

Module II: Fins and Transient Conduction (6 Hrs)

Overall Heat Transfer Coefficients, Critical Thickness of Insulation, Heat Transfer from Extended Surfaces, Effectiveness and Efficiency, Unsteady State Heat Conduction, Lumped Heat Capacity System and Lumped Capacitance Method.

Practice

1. To find the thermal resistance of the sample.
2. To find the thermal resistance of the sample using Simulia
3. To find the heat transfer in Transient Heat Conduction using Simulia

Module III: Convection (9 Hrs)

Hydrodynamic and Thermal Boundary Layer, Principles and Governing Equations, Forced Convection: External Flow over a Flat Plate, Cylinder, Sphere and Non-Circular Ducts, Use of Empirical Relations, Internal Flow Through Pipe, Annular Spaces and Non-Circular Conduits, Natural Convection: Vertical, Horizontal, Inclined Surfaces.

Practice

1. To determine the overall heat transfer coefficient at the surface of a given vertical metal cylinder by the natural convection method.
2. To verify Newton's Law of Cooling of different materials and different liquids.

8 .To determine heat transfer coefficient using Simulia

1. To find the temperature variation and heat transfer along cylinder in forced convection using Simulia

10.To find the temperature variation and heat transfer along solid cylinder in natural convection using Simulia

Module IV: Heat Transfer With Phase Change (2 Hrs)

Film Wise and Drop Wise Condensation, Boiling Heat Transfer, Regimes of Boiling.

Module V: Heat Exchangers (6 Hrs)

Types of Heat Exchangers, Heat Exchanger Analysis Types of Heat Exchangers, Heat Exchanger Analysis, LMTD, Overall Heat Transfer Coefficient, Heat Exchanger Effectiveness, NTU.

Practice

1. Determination of Effectiveness and Efficiency of Parallel Flow and Counter Flow Heat Exchanger.
2. CFD simulation of Heat Exchanger using Simulia

Electromagnetic Spectrum, Black Body Emission, Emissive Power, Laws of Radiation, Nature of Black and Grey Bodies, Concepts, Radiation Shape Factor, Thermal Resistance and Electrical Analogy, Radiation Heat Transfer Between Two Surfaces, Reradiating Surface, Radiation Shield.

Practice

1. To find the emissivity of different material surface.
2. Verification of Stefan Boltzmann’s Law using simulia

Module VII: Mass Transfer (4 Hrs)

Introduction, Analogy between heat and mass transfer, Mass diffusion, Fick’s law of diffusion, boundary conditions, Steady mass diffusion through a wall, Mass convection.

Text Books:

1. Mahesh M. Rathore, Engineering Heat Transfer , Jones & Bartlett Learning, 2011
2. Yunus Cengel, Heat And Mass Transfer: Fundamentals And Applications, McGraw-Hill Higher Education, 2014

Reference Books:
1. R.C Sachdeva, Fundamentals of Heat and Mass Transfer
2. R.K. Rajput, Heat Transfer, Laxmi Publication

Course outline Prepared by:- Prof. Mukundjee Pandey, Dr.Ashok Mishra, Dr. Vijay
Date: - 25/05/2020
Source of reference:- NPTEL, Coursera, Udemy, MIT Open Course Ware & Virtual
Amrita Laboratories Universalizing Education

Note: 1 credit theory=12 hrs lecture, 1 credit practice/project=15 hrs lab/workshop/field work in a semester

Session 1

Fourier’s Law of Conduction, General Heat Conduction Equation in Different Coordinate Systems (No Derivation), One Dimensional Steady State Conduction in Plane Wall, Composite Wall.

Session 2

1. To find the thermal conductivity of a material by the two slabs guarded hot plate method

http://vlab.amrita.edu/?sub=1&brch=194&sim=801&cnt=1(VIRTUAL LAB SIMULATOR)

2. To find heat transfer through composite wall using Simulia

Session 3

One Dimensional Steady State Conduction in Plane Wall, Composite Wall, One Dimensional Steady State Conduction in Composite Cylinders and Composite Spheres with Convective Atmosphere

Session 4

Electrical Analogy, Conduction with Internal Heat Generation.

Session 5

Overall Heat Transfer Coefficients, Critical Thickness of Insulation, Heat Transfer from Extended Surfaces, Effectiveness and Efficiency

Session 6

3.To find the thermal resistance of the sample

http://vlab.amrita.edu/?sub=1&brch=194&sim=801&cnt=1(VIRTUAL LAB)

4. To find the thermal resistance of the sample using Simulia

Session 7

Unsteady State Heat Conduction, Lumped Heat Capacity System and Lumped Capacitance Method

5.To find the heat transfer in Transient Heat Conduction using Simulia

Session 8

Hydrodynamic and Thermal Boundary Layer, Principles and Governing Equations

Session 9

6. To verify Newton's Law of Cooling of different materials and different liquids

http://vlab.amrita.edu/?sub=1&brch=194&sim=354&cnt=1(VIRTUAL LAB SIMULATOR)

7. To determine heat transfer coefficient using Simulia

Session 10

Forced Convection: External Flow over a Flat Plate, Cylinder, Sphere and Non-Circular Ducts.

8. To find the temperature variation and heat transfer along cylinder in forced convection using Simulia

Session 11

Use of Empirical Relations, Internal Flow Through Pipe, Annular Spaces and Non-Circular Conduits

Session 12

Natural Convection: Vertical, Horizontal, Inclined Surfaces

Session 13

9.To determine the overall heat transfer coefficient at the surface of a given vertical metal cylinder by the natural convection method

http://vlab.amrita.edu/?sub=1&brch=194&sim=791&cnt=1(VIRTUAL LAB SIMULATOR)

10. To find the temperature variation and heat transfer along solid cylinder in natural convection using Simulia

Session 14

Film Wise and Drop Wise Condensation

Session 15

Boiling Heat Transfer, Regimes of Boiling

Session 16

Types of Heat Exchangers, Heat Exchanger Analysis, LMTD, Overall Heat Transfer Coefficient

Session 17

11. Determination of Effectiveness and Efficiency of Parallel Flow and Counter Flow Heat Exchanger.

12.  CFD simulation of Heat Exchanger using Simulia

Session 20

13. To find the emissivity of different material surface.

http://vlab.amrita.edu/?sub=1&brch=194&sim=802&cnt=1(VIRTUAL LAB SIMULATOR)

Session 21

Nature of Black and Grey Bodies, Concepts, Radiation Shape Factor, Thermal Resistance and Electrical Analogy

Session 22

14.Verification of Stefan Boltzmann’s Law using Simulia

http://vlab.amrita.edu/?sub=1&brch=194&sim=548&cnt=1 (VIRTUAL LAB SIMULATOR)

Session 26

Fick’s law of diffusion, boundary conditions

Session 27

Steady mass diffusion through a wall, Mass convection