A coupled nite volume/dual reciprocity boundary element method is developed to solve the transient conjugate heat transfer problem of convective heat transfer over and conduction heat transfer within a solid body. In this approach, the ow eld and forced convection heat transfer external to the body is resolved by numerically solving the time-dependent Navier-Stokes equations using a nite volume method, whereas the temperature eld within the body is resolved by numerically solving the heat conduction equation using a dual reciprocity boundary element method. The boundary discretization utilized to generate the computational grid for the external ow eld provides the boundary discretization required for the boundary element method. Coupling of the two elds is accomplished by enforcing interface continuity of heat ux and temperature. Transient heat transfer data needed to verify the code were obtained in a series of experiments that are reported. Details of the experimental setup and test conditions are provided. Numerical simulations of the experiments show good agreement with obtained experimental data. Nomenclature a = nonlinear diffusivity, function of w C(n ) = free term in boundary element method (BEM) equations c = speci c heat D = diagonal matrix E(x, n ) = negative of normal derivative of T ¤ multiplied by k e = speci c energy F = dual reciprocity BEM (DRBEM) interpolating matrix F c = x component of convective ux vector F d = x component of diffusive ux vector f = expansion function G = BEM in uence matrix multiplying vector of nodal uxes G c = y component of convective ux vector G d = y component of diffusive ux vector H = BEM in uence matrix multiplying vector of nodal temperatures h = speci c enthalpy h ¤ = half-channel height k = thermal conductivity k 0 = reference thermal conductivity L = number of additional DRBEM expansion points N = number of BEM nodes P = DRBEM interpolating matrix Pe = Peclet number Pr = Prandtl number p = pressure = negative of normal derivative of u k multiplied by k q(x) = heat ux vector r (x, n ) = Euclidean distance between source (n ) and eld point (x) T = temperature T B = bulk temperature T W = wall temperature T 0 = reference temperature T ¤ = Green's free space solution t = time u = x component of velocity v = y component of velocity W = vector of conserved variables x = location of eld point a = dual reciprocity method expansion coef cient C = boundary of domain X c = speci c heat ratio D t = time step h t , h q = weighting parameters in DRBEM time-marching scheme l = dynamic viscosity n = location of source point r = normal viscous stress s = viscous shear stress U = DRM interpolating matrix u = DRM expansion function w = Kirchhoff parameter w 0 = reference Kirchhoff parameter X = domain
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.