scholarly journals Effect of variable thermal conductivity on convective heat and mass transfer over a vertical plate in a rotating system with variable porosity regime

2014 ◽  
Vol 11 (1) ◽  
pp. 83-92 ◽  
Author(s):  
Mallikarjuna Bandaru ◽  
R. Bhuvana Vijaya

Mathematical model has been presented to investigate the effect of variable thermal conductivity on Darcy mixed convective heat and mass transfer flow past a vertical plate in a rotating system by taking into account of variable porosity regime and chemical reaction parameter. The governing boundary layer equations for the flow, energy and species are transformed into system of ordinary differential equations using similarity transformations and then solved numerically by employing Fourth order Runge-Kutta method with shooting technique for various values of physical parameters. The effects of variable thermal conductivity, chemical reaction parameter and variable porosity regime on the fluid velocity, temperature and concentration, local skin friction and rate of heat and mass transfer distribution in the regime are presented graphically and analyzed in detail. We compare the results with previously published work and good agreement is obtained.DOI: http://dx.doi.org/10.3329/jname.v11i1.16488

2012 ◽  
Vol 18 (2) ◽  
pp. 305-314 ◽  
Author(s):  
R. Muthuraj ◽  
S. Srinivas ◽  
Lourdu Immaculate

A mathematical model is developed to examine the effect of chemical reaction on MHD mixed convective heat and mass transfer flow of a couple-stress fluid in vertical porous space in the presence of temperature dependent heat source with travelling thermal waves. The dimensionless governing equations are assumed to be made up of two parts: a mean part corresponding to the fully developed mean flow, and a small perturbed part, using amplitude as a small parameter. The analytical solution of perturbed part have been carried out by using the long-wave approximation. The expressions for the zeroth-order and the first order solutions are obtained and the results of the heat and mass transfer characteristics are presented graphically for various values of parameters entering into the problem. It is noted that velocity of the fluid increases with the increase of the couple stress parameter and increasing the chemical reaction parameter leads suppress the velocity of the fluid. Cross velocity decreases with an increase of the phase angle. The increase of the chemical reaction parameter and Schmidt number lead to decrease the fluid concentration. The hydrodynamic case for a non-porous space in the absence of the temperature dependent heat source for Newtonian fluid can be captured as a limiting case of our analysis by taking, and ?1?0, Da??, a??.


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