scholarly journals Spectral Quasi-linearization Method for Homogeneous-Heterogeneous Reactions on Nonlinear Convection Flow of Micropolar Fluid Saturated Porous Medium with Convective Boundary Condition

2016 ◽  
Vol 6 (1) ◽  
Author(s):  
Chetteti RamReddy ◽  
Teegala Pradeepa
Keyword(s):  
Boundary Condition ◽  
Porous Medium ◽  
Micropolar Fluid ◽  
Heterogeneous Reaction ◽  
Saturated Porous Medium ◽  
Mass Transfer Rate ◽  
Convective Boundary Condition ◽  
Convection Flow ◽  
Convective Boundary ◽  
Fluid Saturated Porous Medium

Abstract Based on the nonlinear variation of density with temperature (NDT) in the buoyancy term, the mixed convection flow along a vertical plate of a micropolar fluid saturated porous medium is considered. In addition, the effect of homogeneous-heterogeneous reaction and convective boundary condition has been taken into account. Using lie scaling group transformations, the similarity representation is attained for the system of partial differential equations, prior to being solved by a spectral quasilinearization method. The results show that in the presence of aiding and opposing flow situations, both the species concentration and mass transfer rate decreases when the strength of homogeneous and heterogeneous reaction parameters are enhanced.

Mixed Convection Flow of Viscoelastic Fluid over a Sphere under Convective Boundary Condition Embedded in Porous Medium

2015 ◽  
Vol 362 ◽  
pp. 67-75 ◽  
Author(s):  
A.R.M. Kasim ◽  
L.Y. Jiann ◽  
N.A. Rawi ◽  
A. Ali ◽  
S. Shafie
Keyword(s):  
Boundary Layer ◽  
Boundary Condition ◽  
Porous Medium ◽  
Boundary Conditions ◽  
Mixed Convection ◽  
Viscoelastic Fluid ◽  
Convective Boundary Condition ◽  
Convection Flow ◽  
Convective Boundary ◽  
Viscoelastic Parameter

The investigation on mixed convection boundary layer of a viscoelastic fluid over a sphere which is embedded in porous medium under convective boundary condition is carried out in this paper. The boundary layer equations of viscoelastic fluid are an order higher than Newtonian (viscous) fluid and the adherence boundary conditions are insufficient to determine the solution of these equations completely. Hence, the augmentation on extra boundary conditions is needed in order to solve this problem. The governing partial differential equations are first transformed into non-dimensional forms and then solved numerically using the Keller-box method by augmenting extra boundary conditions at infinity. The numerical results obtained for limiting case are comparing with related outcomes in order to validate the present results. Results on the effects of the viscoelastic parameter in the presence of porosity and mixed convection on the skin friction and heat transfer as well as velocity and temperature profile have been discussed.

scholarly journals Similarity Solution for Free Convection Flow of a Micropolar Fluid under Convective Boundary Condition via Lie Scaling Group Transformations

2015 ◽  
Vol 2015 ◽  
pp. 1-16 ◽  
Author(s):  
Ch. RamReddy ◽  
T. Pradeepa ◽  
D. Srinivasacharya
Keyword(s):  
Boundary Condition ◽  
Micropolar Fluid ◽  
Vertical Plate ◽  
Convective Boundary Condition ◽  
Convection Flow ◽  
Physical Parameters ◽  
Convective Boundary ◽  
Special Cases ◽  
Scaling Group Of Transformations ◽  
Scaling Group

The free convective flow of an incompressible micropolar fluid along permeable vertical plate under the convective boundary condition is investigated. The Lie scaling group of transformations is applied to get the similarity representation for the system of partial differential equations and then the resulting systems of equations are solved using spectral quasi-linearisation method. A quantitative comparison of the numerical results is made with previously published results for special cases and the results are found to be in good agreement. The results of the physical parameters on the developments of flow, temperature, concentration, skinfriction, wall couple stress, heat transfer, and mass transfer characteristics along vertical plate are given and the salient features are discussed.

Quadratic Convective Flow of a Micropolar Fluid along an Inclined Plate in a Non-Darcy Porous Medium with Convective Boundary Condition

2017 ◽  
Vol 6 (2) ◽  
Author(s):  
Ch. RamReddy ◽  
P. Naveen ◽  
D. Srinivasacharya
Keyword(s):  
Boundary Condition ◽  
Porous Medium ◽  
Differential Equations ◽  
Micropolar Fluid ◽  
Convective Flow ◽  
Convective Boundary Condition ◽  
Inclined Plate ◽  
Convective Boundary ◽  
Temperature Parameter ◽  
Mixed Convective Flow

AbstractThe objective of the present study is to investigate the effect of nonlinear variation of density with temperature and concentration on the mixed convective flow of a micropolar fluid over an inclined flat plate in a non-Darcy porous medium in the presence of the convective boundary condition. In order to analyze all the essential features, the governing non-dimensional partial differential equations are transformed into a system of ordinary differential equations using a local non-similarity procedure and then the resulting boundary value problem is solved using a successive linearisation method (SLM). By insisting the comparison between vertical, horizontal and inclined plates, the physical quantities of the flow and its characteristics are exhibited graphically and quantitatively with various parameters. An increase in the micropolar parameter and non-Darcy parameter tend to increase the skin friction and the reverse change is observed in wall couple stress, mass and heat transfer rates. The influence of the nonlinear concentration parameter is more prominent on all the physical characteristics of the present model, compared with that of nonlinear temperature parameter.

Non-similarity Solutions for Viscous Dissipation and Soret Effects in Micropolar Fluid over a Truncated Cone with Convective Boundary Condition: Spectral Quasilinearization Approach

2017 ◽  
Vol 18 (5) ◽  
pp. 327-342
Author(s):  
Chetteti RamReddy ◽  
Teegala Pradeepa
Keyword(s):  
Boundary Condition ◽  
Differential Equations ◽  
Mixed Convection ◽  
Viscous Dissipation ◽  
Micropolar Fluid ◽  
Convective Boundary Condition ◽  
Convection Flow ◽  
Quasilinearization Method ◽  
Convective Boundary ◽  
Truncated Cone

AbstractThis article emphasizes the influence of convective boundary condition on mixed convection flow of a micropolar fluid over a truncated cone with Soret and viscous dissipation effects. The governing micropolar fluid flow equations are non-dimensionalized using suitable non-similarity transformations. Several authors have applied the spectral quasilinearization method to solve the ordinary differential equations, but here the resulting nonlinear partial differential equations are solved for non-similarity solution by using a newly developed method called the spectral quasilinearization method (SQLM). The comparison of convection process namely free, forced and mixed convection on the micropolar fluid is provided in detail. The convergence and error analysis are also discussed to test the accuracy of the spectral method. From the results, it perceived that with the rise in viscous dissipation parameter, the wall couple stress coefficient and Nusselt number reduce, but velocity, temperature, concentration, skin friction coefficient and Sherwood number increase for both in the absence and in the presence of Soret number.

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