Homework Statement
I need to work on a differential equation.
\frac{d^2T}{dx^2} - (m+n\ sin(kx))\ T = 0
Homework Equations
Is my work correct?
The Attempt at a Solution
\frac{d^2T}{dx^2} - (m+n\ sin(kx))\ T = 0
\frac{d}{dx}\left(\frac{dT}{dx} \right) = (m+n\ sin(kx))\ T
\int...
Homework Statement
Find the the T(x). See attachment. The top, bottom as well as the left side are adiabatic. The fluid temperature on the side of convective heat transfer is a function of x. The dimension for the width is W.
Homework Equations
How to find T(x)
The Attempt at a...
Homework Statement
I need to integrate the following function:
y = \int e^{-\frac{n}{\omega}cos \omega t} dt
Homework Equations
How should I solve this? Will this lead me to Bessel function?
2. My attempt
a=\frac{n}{\omega}
u=-a cos (\omega t)
du = a\omega sin...
Dear all, I have difficulty in solving this problem (see the figure in attached thumbnails)
I have a rectangular shape with length/height of L and the thickness/width of \delta
Within the rectangular area, a heat conduction occurred. I would like to determine the temperature profile within the...