Unsteady forced convection heat/mass transfer from a flat plate

Numerical methods are used to investigate the transient, forced convection heat/mass transfer from a finite flat plate to a steady stream of viscous, incompressible fluid. The temperature/concentration inside the plate is considered uniform. The heat/mass balance equations were solved in elliptic cylindrical coordinates by a finite difference implicit ADI method. These solutions span the parameter ranges 10≤ Re ≤ 400 and 0.1 ≤ Pr ≤ 10. The computations were focused on the influence of the product (aspect ratio) × (volume heat capacity ratio/Henry number) on the heat/mass transfer rate. The occurrence on the plate’s surface of heat/mass wake phenomena was also studied.

[1]  P. Hemker,et al.  A numerical study of stiff two-point boundary problems , 1977 .

[2]  M. Lupo,et al.  The coupling of conduction with forced convection over a flat plate , 1989 .

[3]  A. E. Zinnes.  The Coupling of Conduction With Laminar Natural Convection From a Vertical Flat Plate With Arbitrary Surface Heating , 1970 .

[4]  S. Dennis,et al.  The steady flow of a viscous fluid past a flat plate , 1966, Journal of Fluid Mechanics.

[5]  G. Juncu.  Unsteady conjugate heat/mass transfer from a circular cylinder in laminar crossflow at low Reynolds numbers , 2004 .

[6]  L. G. Leal.  Steady separated flow in a linearly decelerated free stream , 1973, Journal of Fluid Mechanics.

[7]  Tianshu Liu,et al.  Surface temperature of a hot film on a wall in shear flow , 1994 .

[8]  M. V. Dyke.  Higher approximations in boundary-layer theory Part 2. Application to leading edges , 1962, Journal of Fluid Mechanics.

[9]  A. V. Luikov,et al.  Conjugate convective heat transfer problems , 1974 .

[10]  K. Cole.  Conjugate heat transfer from a small heated strip , 1997 .

[11]  Forced convection from a heated flat plate , 1966 .

[12]  Christopher Y. Choi,et al.  A numerical investigation of conjugate heat transfer from a flush heat source on a conductive board in laminar channel flow , 1995 .

[13]  Frank P. Incropera,et al.  Conjugate heat transfer from small isothermal heat sources embedded in a large substrate , 1985 .

[14]  E. Sparrow,et al.  Conjugate Forced Convection-Conduction Analysis of Heat Transfer in a Plate Fin , 1982 .

[15]  L. G. Leal,et al.  Combined forced and free convection flow past a horizontal flat plate , 1973 .

[16]  H. Schlichting.  Boundary Layer Theory , 1955 .

[17]  G. Juncu,et al.  Numerical solution of the steady incompressible Navier—Stokes equations for the flow past a sphere by a multigrid defect correction technique , 1990 .

[18]  H. Nakagawa,et al.  Heat and mass transfer with a boundary layer flow past a flat plate of finite thickness , 1991 .

[19]  B. Fornberg.  A numerical study of steady viscous flow past a circular cylinder , 1980, Journal of Fluid Mechanics.

[20]  F. Méndez,et al.  The classical problem of convective heat transfer in laminar flow over a thin finite thickness plate with uniform temperature at the lower surface , 1997 .

[21]  G. Juncu.  A numerical study of steady viscous flow past a fluid sphere , 1999 .

[22]  A. Luikov,et al.  Analytical methods of solution of conjugated problems in convective heat transfer , 1971 .

[23]  I. Pop,et al.  A note on conjugate forced convection boundary-layer flow past a flat plate , 1993 .

[24]  M. N. Özişik,et al.  Analytic solution to the conjugate heat transfer problem of flow past a heated block , 1992 .

[25]  P. Payvar.  Convective heat transfer to laminar flow over a plate of finite thickness , 1977 .

[26]  B. Abramzon,et al.  Unsteady heat transfer from a single sphere in stokes flow , 1984 .

[27]  K. Chida,et al.  Conjugate heat transfer of continuously moving surfaces , 1976 .

[28]  H. Brauer.  Unsteady state mass transfer through the interface of spherical particles. I Physical and mathematical description of the mass-transfer problem. II - Discussion of results obtained by theoretical methods , 1978 .

[29]  R. Karvinen.  Some new results for conjugated heat transfer in a flat plate , 1978 .

[30]  G. Juncu.  Unsteady heat and/or mass transfer from a fluid sphere in creeping flow , 2001 .

[31]  B. Prasad,et al.  Conjugate Laminar Forced Convection From a Flat Plate With Imposed Pressure Gradient , 1993 .

[32]  T. Perelman,et al.  ON CONJUGATED PROBLEMS OF HEAT TRANSFER , 1961 .

[33]  I. Pop,et al.  Forced convection heat transfer from a flat plate: the conjugate problem , 1998 .

[34]  G. Juncu.  The influence of the continuous phase Pe numbers on thermal wake phenomenon , 1998 .

[35]  M. Sen,et al.  An analytical asymptotic solution to a conjugate heat transfer problem , 2002 .