Home
Class 12
PHYSICS
Inner surfaec of a cylindrical shell of ...


Inner surfaec of a cylindrical shell of length l and of material of thermal conductivity k is kept at constant temperature `T_(1)` and outer surface of the cylinder is kept at constant temperature `T_(2)` such that `(T_(1)gtT_(2))` as shown in figure. heat flows from inner surface to outer surface radially outward. inner and outer radii of the shell are R and 2R resspectively. Due to lack of space this cylinder has to be replaced by a smaller cylinder of length `(l)/(2)` inner and outer radii `(R)/(4)` and R respectively and thermal conductivity of material nk. if rate of radially outward heat flow remains same for same temperatures of inner and outer surface i.e., `T_(1)` and `T_(2)` then find the value of n.

Promotional Banner

Similar Questions

Explore conceptually related problems

Calculate thermal conductance for radial flow of an annular cylinder of length l and inner and outer radius r_(1) and r_(2) . Assume that thermal conductivity of the material is K

Inner and outer surfaces of a cylinder are maintained at temperature 4T and T respectively. Heat flows radially from inner surface of radius R to outer surface of radius 4R. Radial distance from the center where temperature is 2T.

Inner and outer radii of a spool are r and R respectively. A thread is wound over its inner surface and placed over a rough horizontal surface. Then: .

The hollow cylinder of length l and inner and outer radius R_1 and R_2 respectively. Find resistance of cylinder if current flows radially outward in the cylinder. Resistivity of material of cylinder id rho .

A metallic sphere having inner and outer radii a and b respectively has thermal conductivity K=(K_(0))/r (alerleb) Find the thermal resistance between inner surface and outer surface.

Calculated thermal conductance for radial flow of a spherical sheel of inner and outer radius r_(1) and r_(2) . Assume that thermal conductivity of the material is K

A rod of length l and cross-section area A has a variable thermal conductivity given by K = alpha T, where alpha is a positive constant and T is temperature in kelvin. Two ends of the rod are maintained at temperature T_(1) and T_(2) (T_(1)gtT_(2)) . Heat current flowing through the rod will be

The space between two thin concentric metallic spherical shells of radii a and b is filled with a thermal conducting medium of conductivity k. The inner shell is maintained at temperature T_(1) and outer is maintained at a lower temperature T_(2) . Calculate the rate of flow of heat in radially outward direction through the medium.

A rod of length L with sides fully insulated is made of a material whose thermal conductivity K varies with temperature as K=(alpha)/(T) where alpha is constant. The ends of rod are at temperature T_(1) and T_(2)(T_(2)gtT_(1)) Find the rate of heat flow per unit area of rod .

A spherical body of radius 'b' has a concentric cavity of radius 'a' as shown. Thermal conductivity of the material is K. Find thermal resistance between inner surface P and outer surface Q.