Heat Transfer - Conduction

A plane, solid slab of thickness L, shown in the figure, has thermal conductivity k that varies with the spatial coordinate x as k = A + Bx, where A and B are positive constants (A > 0, B > 0). The slab walls are maintai...

Consider a slab of 20 mm thickness. There is a uniform heat generation of $\dot{q}$ = 100 MW/m$^3$ inside the slab. The left and right faces of the slab are maintained at 150 °C and 110 °C, respectively. The plate has a...

Ambient air flows over a heated slab having flat, top surface at y = 0. The local temperature (in Kelvin) profile within the thermal boundary layer is given by T(y) = 300 + 200 exp(-5y), where y is the distance measured...

A slender rod of length L, diameter d (L>> d) and thermal conductivity k1 is joined with another rod of identical dimensions, but of thermal conductivity k2, to form a composite cylindrical rod of length 2L. The heat tra...

One-dimensional steady state heat conduction takes place through a solid whose cross-sectional area varies linearly in the direction of heat transfer. Assume there is no heat generation in the solid and the thermal condu...

Heat is generated uniformly in a long solid cylindrical rod (diameter = 10 mm) at the rate of 4 × 10^7 W/m³. The thermal conductivity of the rod material is 25 W/m.K. Under steady state conditions, the temperature differ...