Problems 5.14 The outer surface of a porous hemispherical shell is heated with uniform flux q. Coolant at flow rate m enters the inner surface and flows radially outward. The specific heat of the coolant is Cpf and the conductivity of the solid-fluid matrix is k. The inner radius is R, and the outer radius is R. The inner surface is maintained at uniform temperature T.. Determine the steady state temperature of the heated surface. 5.15 A straight triangular fin of length L and thickness t at the base is made of porous material of porosity P. The fin exchanges heat by convection along its surface. The heat transfer coefficient is h and the ambient temperature is T. The base is maintained at temperature To Coolant at temperature T and flow rate per unit surface area m/ A flows normal to the surface. Coolant specific heat is C pf and the thermal conductivity of the solid-fluid matrix is k. Determine the ratio of the heat transfer form the porous fin to that of a solid fin. h, T y, (x) m h,T TV A 16 The surface temperature of a tube of radius R, is T. The tube is cooled