Solution of the differential equations of heat and mass transfer for laminar flow of a binary gas mixture over a flat plate

Steady one-dimensional nonstationary flow of boiling liquid from finite or infinit pipe in a consideration of the effect of the phase-boundary heat and mass transfer. The Received system of quasi-linear differential equations has been decided by the modificati on of Lax - wendroff method in IBM. Numerical results are compared as xperimental data.

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An Analytical Approach to the Heat and Mass Transfer Processes in Counterflow Cooling Towers

Journal of Heat Transfer ◽

10.1115/1.2352780 ◽

2006 ◽

Vol 128 (11) ◽

pp. 1142-1148 ◽

Cited By ~ 18

Author(s):

Chengqin Ren

Keyword(s):

Mass Transfer ◽

Differential Equations ◽

Heat And Mass Transfer ◽

Analytical Model ◽

Operating Conditions ◽

Cooling Towers ◽

Accurate Analysis ◽

Transfer Resistance ◽

Transfer Processes ◽

Mass Transfer Processes

Quick and accurate analysis of cooling tower performance, outlet conditions of moist air, and parameter profiles along the tower height is very important in rating and design calculations. This paper developed an analytical model for the coupled heat and mass transfer processes in counterflow cooling towers based on operating conditions more realistic than most conventionally adopted Merkel approximations. In modeling, values of the Lewis factor were not necessarily specified as unity. Effects of water loss by evaporation and water film heat transfer resistance were also considered in the model equations. Within a relatively narrow range of operating conditions, the humidity ratio of air in equilibrium with the water surface was assumed to be a linear function of the surface temperature. The differential equations were rearranged and an analytical solution was developed for newly defined parameters. The analytical model predicts the tower performances, outlet conditions, and parameter profiles quickly and accurately when comparing with the numerical integration of the original differential equations.

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Simultaneous heat and mass transfer to flat plate in humid air stream under frosting conditions

International Communications in Heat and Mass Transfer ◽

10.1016/0735-1933(78)90008-8 ◽

1978 ◽

Vol 5 (5) ◽

pp. 297-305

Author(s):

H Varma

Keyword(s):

Mass Transfer ◽

Flat Plate ◽

Heat And Mass Transfer ◽

Humid Air ◽

Air Stream ◽

Simultaneous Heat

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g-Jitter Induced Mixed Convection Flow of Heat and Mass Transfer Past an Inclined Stretching Sheet

Jurnal Teknologi ◽

10.11113/jt.v71.3611 ◽

2014 ◽

Vol 71 (1) ◽

Cited By ~ 1

Author(s):

Noraihan Afiqah Rawi ◽

Abdul Rahman Mohd Kasim ◽

Mukheta Isa ◽

Sharidan Shafie

Keyword(s):

Mass Transfer ◽

Differential Equations ◽

Mixed Convection ◽

Heat And Mass Transfer ◽

Stretching Sheet ◽

Convection Flow ◽

Convection Boundary Layer ◽

Keller Box Method ◽

Unsteady Mixed Convection ◽

Layer Flow

This paper studies unsteady mixed convection boundary layer flow of heat and mass transfer past an inclined stretching sheet associated with the effect of periodical gravity modulation or g-jitter. The temperature and concentration are assumed to vary linearly with x, where x is the distance along the plate. The governing partial differential equations are transformed to a set of coupled ordinary differential equations using non-similarity transformation and solved numerically by Keller-box method. Numerical results for velocity, temperature and concentration profiles as well as skin friction, Nusselt number and Sherwood number are presented and analyzed for different values of inclination angle parameter.

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Numerical investigation of three-dimensional nanofluid flow with heat and mass transfer on a nonlinearly stretching sheet using the barycentric functions

International Journal of Numerical Methods for Heat &amp Fluid Flow ◽

10.1108/hff-03-2020-0135 ◽

2020 ◽

Vol ahead-of-print (ahead-of-print) ◽

Author(s):

Soraya Torkaman ◽

Ghasem Barid Loghmani ◽

Mohammad Heydari ◽

Abdul-Majid Wazwaz

Keyword(s):

Mass Transfer ◽

Differential Equations ◽

Heat And Mass Transfer ◽

Stretching Sheet ◽

Volume Fraction ◽

Three Dimensional ◽

Operational Matrices ◽

Nanofluid Flow ◽

Content Type ◽

Nonlinearly Stretching Sheet

Purpose The purpose of this paper is to investigate a three-dimensional boundary layer flow with considering heat and mass transfer on a nonlinearly stretching sheet by using a novel operational-matrix-based method. Design/methodology/approach The partial differential equations that governing the problem are converted into the system of nonlinear ordinary differential equations (ODEs) with considering suitable similarity transformations. A direct numerical method based on the operational matrices of integration and product for the linear barycentric rational basic functions is used to solve the nonlinear system of ODEs. Findings Graphical and tabular results are provided to illustrate the effect of various parameters involved in the problem on the velocity profiles, temperature distribution, nanoparticle volume fraction, Nusselt and Sherwood number and skin friction coefficient. Comparison between the obtained results, numerical results based on the Maple's dsolve (type = numeric) command and previous existing results affirms the efficiency and accuracy of the proposed method. Originality/value The motivation of the present study is to provide an effective computational method based on the operational matrices of the barycentric cardinal functions for solving the problem of three-dimensional nanofluid flow with heat and mass transfer. The convergence analysis of the presented scheme is discussed. The benefit of the proposed method (PM) is that, without using any collocation points, the governing equations are converted to the system of algebraic equations.

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