scholarly journals Similarity Solution of Flow, Heat and Mass Transfer of a Nanofluid Over a Porous Plate in a Darcy-Forchheimer Flow

2019 ◽  
pp. 1-14
Author(s):  
A. Falana ◽  
A. Alao Ahmed
Keyword(s):  
Mass Transfer ◽  
Nusselt Number ◽  
Brownian Motion ◽  
Heat And Mass Transfer ◽  
Sherwood Number ◽  
Similarity Solution ◽  
Porous Plate ◽  
Lewis Number ◽  
Flow Heat ◽  
Forchheimer Flow

In this work, a similarity solution of the flow, heat and mass transfer of a nanofluid over a porous plate in a Darcy-Forchheimer flow is explored. The nanofluid model includes Brownian motion and Thermophoresis diffusion effects. The governing transport equations are made dimensionless using similarity transformation technique which reduce them into ordinary differential equations with the associated boundary conditions. The equations are then solved numerically using the classical fourth order Runge-Kutta method and the results are benched marked with available results in literature and are found to be in good agreement. The results for the flow velocity, the shear stress, the temperature distribution, the nanoparticle volume concentration, the skin friction coefficient, the reduced Nusselt number, and the reduced Sherwood number, are presented graphically illustrating the effects of permeability, inertia, thermophoresis, Brownian motion, Lewis number and Prandtl number on the flow. Our analysis shows, among others, that the Nusselt number is a decreasing function, while the Sherwood number is an increasing function of the thermophoretic number

Coupled Heat and Mass Transfer by Mixed Convection From a Buried Pipe With Leakage

2003 ◽  
Author(s):  
C. C. Ngo ◽  
F. C. Lai
Keyword(s):  
Mass Transfer ◽  
Nusselt Number ◽  
Mixed Convection ◽  
Heat And Mass Transfer ◽  
Sherwood Number ◽  
Numerical Solutions ◽  
Lewis Number ◽  
The Body ◽  
Buried Pipe ◽  
Buoyancy Ratio

Numerical solutions are presented for combined heat and mass transfer by mixed convection induced from a buried pipe with leakage. Two locations of leakage are considered in the present study: one is on top of the pipe and the other is at the bottom of the pipe. The governing equations formulated in the body-fitted coordinates are solved via the finite difference method. A parametric study has been performed to investigate the effects of Rayleigh number, Peclet number, Lewis number, and buoyancy ratio N on the heat and mass transfer results. It is found that both the Nusselt number and Sherwood number increase for the aiding flows (N > 0) and decrease for the opposing flows (N < 0). For aiding flows, Sherwood number increases with the Lewis number but Nusselt number decreases with the Lewis number.

scholarly journals UNSTEADY MHD HEAT AND MASS TRANSFER FLOW OF A RADIATING FLUID PAST AN ACCELERATED INCLINED POROUS PLATE WITH HALL CURRENT

2017 ◽  
Vol 5 (7) ◽  
pp. 42-59
Author(s):  
G. Sivaiah ◽  
K. Jayarami Reddy
Keyword(s):  
Mass Transfer ◽  
Nusselt Number ◽  
Skin Friction ◽  
Heat And Mass Transfer ◽  
Sherwood Number ◽  
Hall Current ◽  
Porous Plate ◽  
Physical Parameters ◽  
Laplace Transform Technique ◽  
Transfer Flow

In this paper an analysis has been performed to study the effects of Hall current and radiation of MHD free convective heat and mass transfer flow of a radiating fluid past an accelerated inclined porous plate with hall current in presence of thermal diffusion and heat source. The solutions for velocity, temperature and concentration distributions are obtained by using Laplace transform technique. The expressions for skin friction, Nusselt number and Sherwood number are also derived. The variations in fluid velocity, temperature and species concentration are shown graphically, whereas numerical values of skin friction, Nusselt number and Sherwood number are presented in tabular form for various values of physical parameters.

Unsteady convective heat and mass transfer of a nanofluid in Howarth’s stagnation point by Buongiorno’s model

2015 ◽  
Vol 25 (5) ◽  
pp. 1176-1197 ◽  
Author(s):  
Saeed Dinarvand ◽  
Reza Hosseini ◽  
Ioan Pop
Keyword(s):  
Mass Transfer ◽  
Nusselt Number ◽  
Brownian Motion ◽  
Heat And Mass Transfer ◽  
Stagnation Point ◽  
Three Dimensional ◽  
Stagnation Point Flow ◽  
Content Type ◽  
Buongiorno’S Model ◽  
Brownian Motion And Thermophoresis

Purpose – The purpose of this paper is to do a comprehensive study on the unsteady general three-dimensional stagnation-point flow and heat transfer of a nanofluid by Buongiorno’s model. Design/methodology/approach – In this study, the convective transport equations include the effects of Brownian motion and thermophoresis. By introducing new similarity transformations for velocity, temperature and nanoparticle volume fraction, the basic equations governing the flow, heat and mass transfer are reduced into highly non-linear ordinary differential equations. The resulting non-linear system has been solved both analytically and numerically. Findings – The analysis shows that velocity, temperature and nanoparticle concentration profiles in the respective boundary layers depend on five parameters, namely unsteadiness parameter A, Brownian motion parameter Nb, thermophoresis parameter Nt, Prandtl number Pr and Lewis number Le. It is found that the thermal boundary layer thickens with a rise in both of the Brownian motion and the thermophoresis effects. Therefore, similar to the earlier reported results, the Nusselt number decreases as the Brownian motion and thermophoresis effects become stronger. A correlation for the Nusselt number has been developed based on a regression analysis of the data. This correlation predicts the numerical results with a maximum error of 9 percent for a usual domain of the physical parameters. Originality/value – The stagnation point flow toward a wavy cylinder (with nodal and saddle stagnation points) that a little attention has been given to it up to now. The examination of unsteadiness effect on the general three-dimensional stagnation-point flow. The application of an interesting and global model (Boungiorno’s model) for the nanofluid that incorporates the effects of Brownian motion and thermophoresis. The study of the effects of Brownian motion and thermophoresis on the nanofluid flow, heat and mass transfer characteristics. The prediction of correlation for the Nusselt number based on a regression analysis of the data. General speaking, we can tell the problem with this geometry, characteristics, the applied model, and comprehensive results, was Not studied and analyzed in literature up to now.

scholarly journals Comparison of Suction/Injection Effect on Flow, Heat and Mass Transfer in Porous Media Using a Combined Similarity-Numerical Solution

2021 ◽  
pp. 52-58
Author(s):  
Falana Ayodeji ◽  
Babatope O. Pele ◽  
Abubakar A. Alao
Keyword(s):  
Mass Transfer ◽  
Porous Media ◽  
Numerical Solution ◽  
Heat And Mass Transfer ◽  
Mass Transfer Rate ◽  
Creeping Flow ◽  
Friction Heat ◽  
Flow Heat ◽  
Injection Effect ◽  
Forchheimer Flow

This investigation deals with a comparison of suction/injection effect on flow, heat and mass transfer in porous media using a combined similarity-numerical solution. With this method of transformation, the governing transport PDEs are transformed into ODE and then solved numerically. The study reveals that suction/injection effect is more pronounce on the velocity distribution of a creeping flow (Darcy flow). The Darcy-Forchheimer flow has the steepest velocity curves due to non-linearity and has higher skin friction, heat and mass transfer rate when compared to the other porous media investigated.

scholarly journals Effect of Thermal Conductivity on Magnetohydrodynamic Heat and Mass Transfer in Porous Medium Saturated with Kuvshinshiki Fluid

2017 ◽  
Vol 2 (2) ◽  
Author(s):  
Amos S Idowu ◽  
Abdulwaheed Jimoh
Keyword(s):  
Thermal Conductivity ◽  
Mass Transfer ◽  
Heat And Mass Transfer ◽  
Sherwood Number ◽  
Porous Plate ◽  
Elastic Parameter ◽  
Thermal Conductivity Parameter ◽  
Conductivity Parameter ◽  
The Impact ◽  
Transfer Flow

The effects of Kuvshinshiki fluid on Magnetohydrodynamic (MHD) heat and mass transfer flow over a vertical porous plate with chemical reaction of nth order and thermal conductivity was carried out. The governing partial differential equations were solved numerically using implicit Crank-Nicolson method. A parametric study was performed to illustrate the impact of visco-elastic parameter, radiation parameter, thermal conductivity parameter, magnetic parameter, Prandtl number on the velocity,temperature and concentration profiles.The results were presented graphically with tabular presentations of the skin-friction,rate of heat and mass transfer which were all computed and discussed for different values of parameters of the problem. The numerical results revealed that the visco- elastic of Kuvshinshiki fluid type is growing as concentration profile increases, while the velocity and temperature profile falls ,then the radiation and thermal conductivity were growing as velocity and temperature increases. Also Sherwood number decreases as radiation increases but Sherwood number remains unchanged as thermal conductivity growing.

scholarly journals Heat and mass transfer of an unsteady mhd peristaltic flow in a porous medium with cross diffusion effect

2020 ◽  
Vol 7 (2) ◽  
pp. 130-142
Author(s):  
Panneerselvi R ◽  
Selvameena N ◽  
Sheebarani N
Keyword(s):  
Mass Transfer ◽  
Porous Medium ◽  
Nusselt Number ◽  
Skin Friction ◽  
Heat And Mass Transfer ◽  
Stream Function ◽  
Sherwood Number ◽  
Peristaltic Flow ◽  
Diffusion Effect ◽  
Cross Diffusion

In this work the significance of Cross Diffusion effect on unsteady MHD peristaltic flow in a porous medium with heat and mass transfer is investigated. The governing partial differentialequations are transformed into dimensionless equations by using dimensionless quantities. Stream function, velocity, temperature, concentration, skin friction, Nusselt number and Sherwood number are obtained. The results are discussed for various emerging parameters encountered in the problem under investigation. The importance of main parameters on the present study is explained graphically

scholarly journals Thermal Radiation and MHD Effects on Free Convective Flow of a Polar Fluid through a Porous Medium in the Presence of Internal Heat Generation and Chemical Reaction

2010 ◽  
Vol 2010 ◽  
pp. 1-27 ◽  
Author(s):  
R. A. Mohamed ◽  
S. M. Abo-Dahab ◽  
T. A. Nofal
Keyword(s):  
Mass Transfer ◽  
Porous Medium ◽  
Thermal Radiation ◽  
Heat And Mass Transfer ◽  
Chemical Reaction ◽  
Porous Plate ◽  
Internal Heat ◽  
Polar Fluid ◽  
Highly Nonlinear ◽  
Flow Heat

An analysis is presented to study the MHD free convection with thermal radiation and mass transfer of polar fluid through a porous medium occupying a semi-infinite region of the space bounded by an infinite vertical porous plate with constant suction velocity in the presence of chemical reaction, internal heat source, viscous and Darcy's dissipation. The highly nonlinear coupled differential equations governing the boundary layer flow, heat, and mass transfer are solved by using a two-term perturbation method with Eckert number as a perturbation parameter. The results are obtained for velocity, angular velocity, temperature, concentration, skin friction, Nusselt number, and Sherwood number. The effect of various material parameters on flow, heat, and mass transfer variables is discussed and illustrated graphically.

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