scholarly journals Numerical Solution of Natural Convection on a Vertical Stretching Surface with Suction and Blowing

2021 ◽  
Vol 39 (5) ◽  
pp. 1469-1474
Author(s):  
Shankar Goud Bejawada ◽  
Yanala Dharmendar Reddy ◽  
Kanti Sandeep Kumar ◽  
Epuri Ranjith Kumar
Keyword(s):  
Heat Transfer ◽  
Mass Transfer ◽  
Three Dimensions ◽  
Surface Mass ◽  
Transfer Rates ◽  
Nusselt Numbers ◽  
Surface Mass Transfer ◽  
Prandtl Numbers ◽  
Primary Focus ◽  
Energy And Momentum

In this paper, the natural convective heat transfer from a stretching sheet oriented vertically involving surface mass transfer is of primary focus. A similarity solution in three dimensions is described for energy and momentum. The transformed equations are answered by using MATLAB in-built numerical programmer solver bvp4c. For a range of Prandtl numbers and surface mass transfer rates, friction factor and Nusselt numbers are tabulated. The heat transfer mechanism is observed to influence surface mass transfer. Heat transfer rate increases and thermal boundary layer thickness decreases with an increase of Prandtl values. In addition, the current results are compared with the previously published results and initiate to be a successful agreement.In this paper, the natural convective heat transfer from a stretching sheet oriented vertically involving surface mass transfer is of primary focus. A similarity solution in three dimensions is described for energy and momentum. The transformed equations are answered by using MATLAB in-built numerical programmer solver bvp4c. For a range of Prandtl numbers and surface mass transfer rates, friction factor and Nusselt numbers are tabulated. The heat transfer mechanism is observed to influence surface mass transfer. Heat transfer rate increases and thermal boundary layer thickness decreases with an increase of Prandtl values. In addition, the current results are compared with the previously published results and initiate to be a successful agreement.

Effects of Surface Mass Transfer on Free Convection Flow Over Vertical Cylinder Embedded in a Saturated Porous Medium

1985 ◽  
Vol 107 (3) ◽  
pp. 394-396 ◽  
Author(s):  
M.-J. Huang ◽  
C.-K. Chen
Keyword(s):  
Heat Transfer ◽  
Mass Transfer ◽  
Porous Medium ◽  
Heat Transfer Coefficient ◽  
Free Convection ◽  
Saturated Porous Medium ◽  
Vertical Cylinder ◽  
Surface Mass ◽  
Surface Mass Transfer ◽  
The Heat Transfer Coefficient

The heat-transfer characteristics for free convection associated with isothermal vertical cylinder with surface mass transfer (blowing or suction) embedded in a saturated porous medium are analyzed. The nonsimilar equations are solved by using a suitable variable transformation and employing an implicit finite difference method. The numerical results for Nusselt number are expressed as functions of the parameters, ξ and γ, which represent the effects of the cylinder curvature and the surface mass transfer, respectively. It is found that the local Nusselt numbers for a vertical cylinder are less sensitive to the surface mass transfer than those for a vertical plate. Blowing of mass decreases the heat transfer coefficient but the suction of mass increases the heat transfer coefficient.

Heat transfer in wall jet flows with vectored surface mass transfer

AIAA Journal ◽  
1977 ◽  
Vol 15 (10) ◽  
pp. 1514-1516 ◽  
Author(s):  
Rama Subba Reddy Gorla
Keyword(s):  
Heat Transfer ◽  
Mass Transfer ◽  
Jet Flows ◽  
Wall Jet ◽  
Surface Mass ◽  
Surface Mass Transfer

scholarly journals Boundary layer flow and heat transfer over a permeable shrinking cylinder with surface mass transfer

2013 ◽  
Vol 18 (4) ◽  
pp. 1003-1012 ◽  
Author(s):  
K. Bhattacharyya ◽  
R.S.R. Gorla
Keyword(s):  
Heat Transfer ◽  
Boundary Layer ◽  
Mass Transfer ◽  
Differential Equations ◽  
Boundary Layer Flow ◽  
Surface Mass ◽  
Surface Mass Transfer ◽  
Flow And Heat Transfer ◽  
Curvature Parameter ◽  
Layer Flow

Abstract In the present paper, the axisymmetric boundary layer flow and heat transfer past a permeable shrinking cylinder subject to surface mass transfer is studied. The similarity transformations are adopted to convert the governing partial differential equations for the flow and heat transfer into the nonlinear self-similar ordinary differential equations and then solved by a finite difference method using the quasilinearization technique. From the current investigation, it is found that the velocity in the boundary layer region decreases with the curvature parameter and increases with suction mass transfer. Moreover, with the increase of the curvature parameter, the suction parameter and Prandtl number, the heat transfer is enhanced.

Effects of injection (suction) on a steady mixed convection boundary layer flow over a vertical cone

2009 ◽  
Vol 19 (3/4) ◽  
pp. 432-444 ◽  
Author(s):  
R. Ravindran ◽  
Satyajit Roy ◽  
E. Momoniat
Keyword(s):  
Heat Transfer ◽  
Mass Transfer ◽  
Mixed Convection ◽  
Thermal Design ◽  
Convection Flow ◽  
Convection Boundary Layer ◽  
Vertical Cone ◽  
Content Type ◽  
Surface Mass ◽  
Surface Mass Transfer

PurposeThe purpose of this paper is to study the steady mixed convection flow over a vertical cone in the presence of surface mass transfer when the axis of the cone is inline with the flow.Design/methodology/approachIn this case, the numerical difficulties to obtain the non‐similar solution are overcome by applying an implicit finite difference scheme in combination with the quasilinearization technique.FindingsNumerical results are reported here to display the effects of Prandtl number, buoyancy and mass transfer (injection and suction) parameters at different stream‐wise locations on velocity and temperature profiles, and on skin friction and heat transfer coefficients.Research limitations/implicationsThermo‐physical properties of the fluid in the flow model are assumed to be constant except the density variations causing a body force term in the momentum equation. The Boussinesq approximation is invoked for the fluid properties to relate the density changes to temperature changes and to couple in this way the temperature field to the flow field.Practical implicationsConvective heat transfer over a stationary cone is important for the thermal design of various types of industrial equipments such as heat exchangers, conisters for nuclear waste disposal, nuclear reactor cooling systems and geothermal reservoirs, etc.Originality/valueThe combined effects of thermal diffusion and surface mass transfer on a vertical cone has been studied.

The heat/mass transfer to a finite strip at small Péclet numbers

1978 ◽  
Vol 86 (1) ◽  
pp. 49-65 ◽  
Author(s):  
R. C. Ackerberg ◽  
R. D. Patel ◽  
S. K. Gupta
Keyword(s):  
Heat Transfer ◽  
Mass Transfer ◽  
Shear Flow ◽  
Sodium Hydroxide Solution ◽  
Flow Direction ◽  
Mathematical Problem ◽  
Limiting Current ◽  
Transfer Rates ◽  
Uniform Shear ◽  
Uniform Shear Flow

The problem of heat transfer (or mass transfer at low transfer rates) to a strip of finite length in a uniform shear flow is considered. For small values of the Péclet number (based on wall shear rate and strip length), diffusion in the flow direction cannot be neglected as in the classical Leveque solution. The mathematical problem is solved by the method of matched asymptotic expansions and expressions for the local and overall dimensionless heat-transfer rate from the strip are found. Experimental data on wall mass-transfer rates in a tube at small Péclet numbers have been obtained by the well-known limiting-current method using potassium ferrocyanide and potassium ferricyanide in sodium hydroxide solution. The Schmidt number is large, so that a uniform shear flow can be assumed near the wall. Experimental results are compared with our theoretical predictions and the work of others, and the agreement is found to be excellent.

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