🔥 Numerical Analysis of 2-D Conduction Steady state heat transfer. PART - 3: MATLAB CODE.

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Hello everyone,
This is the third video on Numerical Analysis of steady state 2D heat transfer and in this video we are going develop a MATLAB code for 2D steady state heat conduction.
Formulation of governing differential equation is the first step in Numerical solution to any engineering problem. Governing differential equation is formed by applying universal laws like law of conservation of mass, law of conservation of energy etc.
In the next video, we will see how to descritize the domain and how to get solution using numerical methods.

💻 PART 1 : Formulation of Governing Differential Equation for 1D steady state heat conduction.

💻 PART 2 : Descritization of domain and converting Differential equation into algebric equation.

💻 PART 3 : MATLAB code for 2D steady state heat conduction.

💻 PART 4 : Validation of MATLAB code results with ANSYS Fluent for 2D steady state heat conduction.

[sivasubramanian]

very good explanation.easy to understand....thank you

[vikasbishnoi]

Thank You for such a nice explanation 🔥🙏
You got a new subscriber

[manishghimire]

How do you do if top side is insulated and I have to do in unsteady condition too, can you able to help me with this?

[mohitjoc]

Sir make tutorial biggners to advance seprate tutorials on matlab

[jaswindersingh]

Sir can you provide a vidio on steam flow in champer in matlab for finite difference techniques by LSOR method

[noonalewinsky]

Thank you so much for the amazing explanation!
Where can I find the code?

[NAYAN-te]

Please do the same for Unsteady state & with constant or variable source term 🙏

[kushagrasaurabh]

If I wanted to give initial condition at some specific value of x and y coordinates for ex: T(x=0.2, y=0.5) = 2.5. Then how it will be done?

[abdulhusseinflieh]

Thank you sir for good explanation, and is possible to get the program

[prasadhire]

Sir my " nx 12" software running slow after any command it will buffers 2 3 second then it works what is solutions for speed up

[kajolsingh]

i am getting a error that sumsqr requires deep learning toolbox. what does that mean

[adibfikri]

may i know why we hv to multiply by 25 in code line 14, T=25*ones(Nz, Ny);? and in code line 32, why error is set to 5?

[shuvadipdey]

Sir, I couldn't understand why T' is considered for contour and not T. Kindly explain.

[shrutiraut]

Is this code is for finite volume method??

[letssee]

in my matlab code showing sumsrq requires "deep learning toolbox '' can you solve this problem

[davidsalazartenango]

can you turn on the subtitles in this video please

[diogofarinha]

can anyone give me the matlab file of this video?

[kassaenawgaw]

hi hi guys how can i do this using MATLAB

Consider two-dimensional transient heat transfer in an L-shaped solid bar that is initially at a
uniform temperature of 140°C and whose cross section is given in the figure. The thermal
conductivity and diffusivity of the body are k = 15 W/m · °C and α= 3.2 ×10 -6 m2
/s, respectively,
and heat is generated in the body at a rate of g · = 2 × 107 W/m3
. The right surface of the body is
insulated, and the bottom surface is maintained at a uniform temperature of 140°C at all times. At
time t = 0, the entire top surface is subjected to convection with ambient air at T = 25°C with a
heat transfer coefficient of h = 80 W/m2
· °C, and the left surface is subjected to uniform heat flux
at a rate of q·L =8000 W/m2
. The nodal network of the problem consists of 13 equally spaced nodes
with x = y = 1.5 cm. Using the explicit method, determine the temperature at the top corner
(node 3) of the body after 2, 5, and 30 min