Heat conduction Definition and 111 Threads

In the steady state heat conduction through a solid rod the theoretical derivation tells that heat in-heat out-heat accumulated =0. What is a practical steady state heat conduction problem? what is transient heat conduction

I know how to solve a 1-D heat conduction equation when both ends are kept at 0 temperature(using separation of variables and Fourier series.). In the notes, the prof asked us to solve for one end kept at zero and the other insulated (at x=L) and referred to a non-existent chapter in our...

Homework Statement The elements of a boiling water nuclear reactor consist of long cylindrical rods of uranium dioxide (U02) of diameter 8mm surrounded by a thin layer of aluminium cladding. In the reactor core the elements are cooled by boiling water at 285°C with a heat transfer...

A solid sphere of radius a is immersed in a vat of fluid at a temperature T_0. Heat is conducted into the sphere according to dT/dt = D(d^2T/dr^2) (d-> partial derivative btw) If the temperature at the boundary is fixed at T_0 and the initial temperature of the sphere is T_1, find the...

Sir, 1) Two spheres of different materials, one with double the radius and 1/4th wall thickness of the other are filled with ice. If the time taken for complete melting of ice in the large sphere is 25 minutes and that in smaller sphere is 16 minutes, what is the ratio of the thermal...

Help with Heat Conduction Question My question is: These days they reinforce concrete walls with steel bars. Would the steel bars enhance or degrade the insulating value of the concrete wall? Explain? Metal is a good conductor and concrete is a good insulator. My answer so far is that it...

Given the 3-D rectangular solid with sides of length a, b and c in the x, y and z direction respectively. Find T(x,y,z) in the interior of the solid when laplace T = 0 Boundary condition are following conditions: 1) x=0, T=0 2) x=a, dT/dx=0 3) y=0, dT/dy=0 4) y=b, dT/dy=0 5) z=0, T=0 6)...

A styrofoam cooler (K = .030 W/mo C) has an average surface area of 0.465 m2 and an average thickness of 2.0 cm. About how long, in seconds will it take for 4.10 kg of ice at 0oC to melt in the cooler if the outside temperature is 28.0oC? delta Q/delta t = (k*A*deltaT)/d delta Q = 333 J/g...

I'm doing a projekt on heat conduction i a box. The point is to simulate a house very simple. We have time varying temperature conditions on the outside, and want to model the temperature inside the box over time as outside temperature changes. The box will consist og an outer wall, insulation...

Hello friends I have a problem and also know its answer but I have some trouble figuring it out. Here goes Two vessels filled with different liquids are at temperatures T_{1} and T_{2} respectively. They are joined by a metal rod of length l; area of cross-section A and thermal...

How can I calculate BTU value generated from 1 inch copper pipe with the length of 1 foot through which 176F hot water is passing?