1. C.K PITHAWALA COLLEGE OF ENGG. AND TECH.
Heat Conduction equation for Cartesian Coordinates.
Heat Transfer

2. Sr. No
Name
Enroll. No.
Roll No. 1.
Jay Parekh
131937 2.
Karan Kachadiya
131939 3.
Sarad Kakadiya
131940 4.
Mitank Kapadia
131942

3. Heat Transfer
Heat transfer has direction as well as magnitude, and thus it is a vector quantity
Temperature difference is the driving potential for the heat transfer whereas concentration gradient is the driving potential for mass transfer . Mass transfer is also known as diffusion.
Heat Transfer is commonly encountered in all the engineering systems and other aspects of the real life. To serve the following purpose:-
To determine the temperature field under steady and unsteady conditions
To estimate the rate of heat transfer through the system boundary under steady and unsteady conditions.

4. Systems
The various distances and angles involved when describing the location of a point in different coordinate systems.
There are 3 major coordinate systems we deal with namely:-
Cartesian Coordinates
Cylindrical Coordinates
Spherical Coordinates

5. Fourier’s Law

6. Steady versus Transient Heat Transfer
The term steady implies no change with time at any point within the medium, while transient implies variation with time or time dependence. Therefore, the temperature or heat flux remains unchanged with time during steady heat transfer through a medium at any location, although both quantities may vary from one location to another

7. Multidimensional Heat Transfer & Heat Generation

8. 1-D Heat Conduction Equation

9. General heat Conduction Equation in Cartesian Coordinate System.

10. Elemental Volume in Cartesian coordinate system
This is a small element of a object considered to calculate the heat conduction using Cartesian coordinate.

11. (A)Net Heat Accumulation from all the direction

13. Net transfer of thermal energy into the
Net transfer of thermal energy into the
control volume (inflow-outflow)
Thermal energy
generation
Change in thermal
energy storage

14. THANK YOU