scholarly journals Approximate analytical solution for transient heat and mass transfer across an irregular interface

2021 ◽  
pp. 106211
Author(s):  
Elliot J. Carr ◽  
Dylan J. Oliver ◽  
Matthew J. Simpson
Keyword(s):  
Mass Transfer ◽  
Analytical Solution ◽  
Heat And Mass Transfer ◽  
Approximate Analytical Solution ◽  
Irregular Interface

Effects of a Nonabsorbable Gas on Interfacial Heat and Mass Transfer for the Entrance Region of a Falling Film Absorber

1996 ◽  
Vol 118 (1) ◽  
pp. 45-49 ◽  
Author(s):  
T. A. Ameel ◽  
H. M. Habib ◽  
B. D. Wood
Keyword(s):  
Mass Transfer ◽  
Water Vapor ◽  
Analytical Solution ◽  
Liquid Film ◽  
Heat And Mass Transfer ◽  
Vertical Wall ◽  
Lithium Bromide ◽  
Entrance Region ◽  
Falling Film ◽  
Aqueous Lithium Bromide

An analytical solution is presented for the effect of air (nonabsorbable gas) on the heat and mass transfer rates during the absorption of water vapor (absorbate) by a falling laminar film of aqueous lithium bromide (absorbent), an important process in a proposed open-cycle solar absorption cooling system. The analysis was restricted to the entrance region where an analytical solution is possible. The model consists of a falling film of aqueous lithium bromide flowing down a vertical wall which is kept at uniform temperature. The liquid film is in contact with a gas consisting of a mixture of water vapor and air. The gas phase is moving under the influence of the drag from the falling liquid film. The governing equations are written with a set of interfacial and boundary conditions and solved analytically for the two phases. Heat and mass transfer results are presented for a range of uniform inlet air concentrations. It was found that the concentration of the nonabsorbable gas increases sharply at the liquid gas interface. The absorption of the absorbate in the entrance region showed a continuous reduction with an increase in the amount of air.

scholarly journals Numerical modeling of heat and mass transfer in cylindrical ducts

2010 ◽  
Vol 31 (1) ◽  
pp. 33-43
Author(s):  
Piotr Duda ◽  
Grzegorz Mazurkiewicz
Keyword(s):  
Mass Transfer ◽  
Numerical Modeling ◽  
Analytical Solution ◽  
Heat And Mass Transfer ◽  
Liquid Metals ◽  
Mesh Size ◽  
Working Fluid ◽  
Cooling Systems ◽  
Fully Developed Turbulent Flow ◽  
Steady State Heat

Numerical modeling of heat and mass transfer in cylindrical ductsIn this work, numerical modeling of steady state heat and mass transfer is presented. Both laminar and hydrodynamically fully developed turbulent flow in a pipe are shown. Numerical results are compared with values obtained from analytical solution of such problems. The problems under consideration are often denoted as extended Graetz problems. They occur in heat exchangers using liquid metals as working fluid, in cooling systems for electric components or in chemical process lines. Calculations were carried out gradually decreasing the mesh size in order to examine the convergence of numerical method to analytical solution.

scholarly journals Homotopy Analysis of the Radiation Effect on MHD Flow with Heat and Mass Transfer due to a Point Sink

2016 ◽  
Vol 2016 ◽  
pp. 1-14 ◽  
Author(s):  
C. N. Guled ◽  
B. B. Singh
Keyword(s):  
Boundary Layer ◽  
Mass Transfer ◽  
Analytical Solution ◽  
Heat And Mass Transfer ◽  
Mhd Flow ◽  
Initial Guess ◽  
Boundary Layer Equations ◽  
Homotopy Analysis ◽  
Convergence Control ◽  
Layer Flow

An analytical solution of the magnetohydrodynamic, steady, and incompressible laminar boundary layer flow in the presence of heat and mass transfer as well as magnetic field on a cone due to a point sink by using the homotopy analysis method (HAM) has been studied under the radiative fluid properties. The HAM produces an analytical solution of the governing self-similar nonlinear two-point boundary layer equations. The effects of the suction/injection, magnetic, and radiation parameters over the obtained solution have been discussed. The effects of Prandtl number on temperature and Schmidt number on concentration profiles have also been studied. It has been observed that the temperature profiles exhibit an increasing trend with radiation in case of injection while an opposite trend is observed in case of suction. The results obtained in the present study have also been compared numerically as well as graphically with the corresponding results obtained by using other methods. An excellent agreement has been found between them. The analytical solution obtained by the HAM is very near to the exact solution for a properly selected initial guess, auxiliary, and convergence control parameters and for higher orders of deformations.

Sign in / Sign up

Export Citation Format

Share Document