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.

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.

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.

Spectral Quasi-linearisation Method for Nonlinear Thermal Convection Flow of a Micropolar Fluid under Convective Boundary Condition

2016 ◽  
Vol 5 (3) ◽  
Author(s):  
Ch. RamReddy ◽  
T. Pradeepa
Keyword(s):  
Boundary Condition ◽  
Micropolar Fluid ◽  
Convective Boundary Condition ◽  
Numerical Approach ◽  
Linearization Method ◽  
Heterogeneous Reactions ◽  
Convection Flow ◽  
Convective Boundary ◽  
Flow Equations ◽  
Similarity Transformations

AbstractThe significance of nonlinear temperaturedependent density relation and convective boundary condition on natural convection flow of an incompressible micropolar fluid with homogeneous-heterogeneous reactions is analyzed. In spite of the complicated nonlinear structure of the present setup and to allow all the essential features, the representation of similarity transformations for the system of non-dimensional fluid flow equations is attained through Lie group transformations and hence the governing similarity equations are worked out by a numerical approach known as spectral quasi-linearization method. It is noticed that in the presence of the nonlinear convection parameter enhance the velocity, species concentration, heat transfer rate, skin friction, but decreases the temperature and wall couple stress.

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