4. Find the explicit steady-state temperature distribution in a flat square plate having sides of...
the previous problem set was this one, its the solution to the steady state temperature distribution on the left of problem 2 2. In the last problem set you found the steady-state temperature distribution for the situation on the left. What is the steady state temperature distribution for the situation on right? Hint: make use of your previous solution. 100°C 120°C Extra credit: Make a plot of the temperature distribution 100°C 120°c T 100°C 2. Find the steady-state temperature distribution...
Problem 2(30 points) Consider the steady-state temperature distribution in a square plate with dimensions 2 m x 2 m. There is a heat generation of ġ(x.y)=6x [W/my], and the thermal conductivity of k=1[W/(m-°C)]. The temperature on the top boundary is given by a piecewise function, f(x), which is defined below. x(4- x²)+10 0<x<1 | x(4- x?) + 20, 1<x<2 The bottom boundary is insulated. The temperatures on left-handed and right-handed boundary are maintained at constants 10[°C] and 20 [°C] as...
(b) Write the BVP that solves for the steady state temperature of an object in the shape of a quarter disk of radius 5. The flat sides of the disk are insulated and the round edge is kept at temperature 7 degrees Celsius. Use polar coordinates ρ for the radius and φ for the polar angle. (b) Write the BVP that solves for the steady state temperature of an object in the shape of a quarter disk of radius 5....
5. Consider a rectangular plate with one of the sides of length a lying along the y axis and one of the sides of length b lying along the r axis. The interior of the plate is depleted of electric charge. Only the side lying along the line x = 0 is charged so that the electric potential on that side is held constant at Vo, for 0 < y <a, while the other sides of the plate are kept...
9. Find the steady-state temperature distribution in the plate shown below y= x и —D () insulated и 3D Т 1/2 1 и 3D 0 9. Find the steady-state temperature distribution in the plate shown below y= x и —D () insulated и 3D Т 1/2 1 и 3D 0
Anyone able to help with this 3-D plotting on Matlab Question 1: Three edges of a rectangular plate (a 5 m, b 4 m) are kept at a temperature of O C and one side is kept at a temperature T 80 C, as shown in the figure, on bottom-left. Determine and plot the following temperature distribution Tx,y) in the plate sin ((2n-1)쯤) sinh ((2n-1) 同 (2n-1)sinh((2n-1) TEY 471 7(x, y) = Heat conduction through a square plate a) Create...
Find the steady-state temperature u(r.0) in a circular plate of radius r = 1 if the temperature on the circumference is as given (show all work!): 0 0 T 1) u(1,0) = 0, T<02T Find the steady-state temperature u(r.0) in a circular plate of radius r = 1 if the temperature on the circumference is as given (show all work!): 0 0 T 1) u(1,0) = 0, T
3. (20 points) Denote u(ar, y) the steady-state temperature in a rectangle area 0 z 10, 0yS 1. Find the temperature in the rectangle if the temperature on the up side is kept at 0°, the lower side at 10° while the temperature on the left side is S0)= sin(y) and the right side is insulated. Answer the following questions. (a) (10 points) Write the Dirichlet problem including the Laplace's equation in two dimensions and the boundary conditions. (b) (10...
1: A horizontal, opaque flat surface at a steady-state temperature of 77C is exposed to an airflow having a freestream temperature of 27C with a velocity of 15 m/s, and a length of 1 m along the flow direction. The emissive power of the surface is 628 W/m2 , the irradiation from surroundingsis 1380 W/m2 , and the reflectivity is ?=0.40. (a) Determine the absorptivity (?) of the surface. Ans: 0.6 (b) Determine the net radiation heat transfer rate for...
A thin flat plate of length L, thickness t, and width W> L is thermally joined to two large heat sinks that are maintained at a temperature T.. The bottom of the plate is well insulated, while the net heat flux to the top surface of the plate is known to have a uniform value of Heat sink T. Heat sink T. a) Derive the differential equation that determines the steady-state temperature distribution T(x) in the plate. b) Solve the...