scholarly journals A paired quasilinearization method for solving the MHD mixed convection flow of a micropolar fluid through a truncated cone in a non-Darcy porous medium

2019 ◽  
Vol 46 (2) ◽  
pp. 173-189
Author(s):  
Mekonnen Ayano ◽  
Sandile Motsa ◽  
Olumuyiwa Otegbeye
Keyword(s):  
Porous Medium ◽  
Mixed Convection ◽  
Radiation Effects ◽  
Transverse Magnetic ◽  
Convection Flow ◽  
Quasilinearization Method ◽  
Radiation Parameter ◽  
Forchheimer Number ◽  
Truncated Cone ◽  
Flow Heat

The aim of this paper is to investigate the flow, heat and mass transfer through a truncated cone in a non-Darcy porous medium in the presence of a transverse magnetic field by considering chemical reaction and radiation effects where the fluid is micropolar. The nonlinear equations governing the flow are solved using the paired quasilinearization method (PQLM). The study reveals that increasing radiation parameter, mixed convection parameter and Forchheimer number decreases microrotation. It is also noted that an increase in the radiation parameter leads to a corresponding increase in both the velocity and temperature of the fluid.

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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