Open AccessSIMILARITY SOLUTION OF HEAT AND MASS TRANSFER FOR LIQUID EVAPORATION ALONG A VERTICAL PLATE COVERED WITH A THIN POROUS LAYER
Author(s) -
Md. Hasanuzzaman
Publication year - 2021
Publication title -
journal of mechanics of continua and mathematical sciences
Language(s) - English
Resource type - Journals
eISSN - 2454-7190
pISSN - 0973-8975
DOI - 10.26782/jmcms.2021.04.00004
Subject(s) - prandtl number , nusselt number , mechanics , mass transfer , lewis number , partial differential equation , schmidt number , sherwood number , heat transfer , ordinary differential equation , thermodynamics , froude number , evaporation , materials science , boundary layer , similarity solution , mathematics , physics , differential equation , mathematical analysis , flow (mathematics) , reynolds number , turbulence
In this paper, heat and mass transfer for liquid evaporation along a vertical plate covered with a thin porous layer has been investigated. The continuity, momentum, energy and mass balance equations, which are coupled nonlinear partial differential equations are reduced to a set of two nonlinear ordinary differential equations and solved analytically and numerically by using the shooting technique in MATLAB. The effect of various parameters like the Froude number, the porosity, the Darcy number, the Prandtl number, the Lewis number and the driving parameters on the temperature and concentration profiles are presented and discussed. It is viewed that the heat transfer performance is enhanced by the presence of a porous layer. The local Nusselt number and the local Sherwood numbers are computed and analyzed both numerically and graphically.