Biconvective transport of magnetized couple stress fluid over a radiative paraboloid of revolution

2022 ◽  
pp. 095440892110727
Author(s):  
K. Gangadhar ◽  
P. Manasa Seshakumari ◽  
M. Venkata Subba Rao ◽  
Ali J. Chamkha
Keyword(s):  
Boundary Layer ◽  
Couple Stress ◽  
Mhd Flow ◽  
Double Diffusion ◽  
Local Heat ◽  
Couple Stress Fluid ◽  
Transfer Rates ◽  
Similarity Transformations ◽  
Paraboloid Of Revolution ◽  
Physical Features

In the present study, the physical features of the bioconvective MHD flow of a couple stress fluid over an upper horizontal surface (i.e. surface shaped like a submarine or any ( uhsp) aerodynamical automobile) is analysed by considering radiation and viscous dissipation effects. In the fluid-saturated domain flow is induced due to the reaction of catalytic surface, double diffusion and stretching fluid layers. In fact, couple stress fluid is electrically conducted because non-uniform magnetic field is imposed. With the assistance of appropriate similarity transformations governing equations of the study are reduced to set of ordinary differential equations. Thereafter, built-in MATLAB solver bvp4c is implemented to solve the system numerically. By means of graphs and tables variations of the velocity, temperature, concentration, friction factor, local heat and mass transfer rates are observed thoroughly by varying the flow controlling parameters. From this analysis, main observations are, for rising values of couple stress and magnetic parameter velocity is decline, whereas temperature rises for the same parameters and increase in the thermal boundary layer is noted for the Brinkman number, whereas reverse trend is noted in the concentration boundary layer. Finally, comparison is done and a good correlation is identified between the present analysis and perversely recorded analysis.

Flow analysis of biconvective heat and mass transfer of two-dimensional couple stress fluid over a paraboloid of revolution

2020 ◽  
Vol 34 (11) ◽  
pp. 2050110 ◽  
Author(s):  
Ahmed Zeeshan ◽  
Zeeshan Ali ◽  
Mohammad Rahimi Gorji ◽  
Farooq Hussain ◽  
S. Nadeem
Keyword(s):  
Boundary Layer ◽  
Couple Stress ◽  
Fluid Layer ◽  
Flow Analysis ◽  
Couple Stress Fluid ◽  
Two Dimensional ◽  
Nonlinear Odes ◽  
Similarity Transformations ◽  
Paraboloid Of Revolution ◽  
Stream Functions

In this paper, two-dimensional non-Newtonian couple stress fluid flow over the upper horizontal surface of a paraboloid (uhsp) (shaped like a submarine or any aerodynamical automobile) is investigated. At the freestream, a stretching of the fluid layer is assumed along with catalytic surface reaction which tends to induce the flow in the fluid-saturated domain. The problem is modeled by engaging laws of conservation for mass, momentum, heat and concentration. Velocity components are converted to stream functions and similarity transformations to reduce the dependent and independent variables in the partial differential equation describing the flow. Stream functions ideally satisfy continuity equation and transformation to reduce the PDEs to the system of coupled nonlinear ODEs. The numerical solution of these equations is obtained using the shooting-RKF method. The graphical results show that both the lateral and horizontal velocities decrease by increasing the couple stress material parameter and cause the temperature to rise. The thermal boundary layer decreases subject to the thickness parameter and has appositive effects on concentration boundary layer. Finally, numerical results have also been tabulated.

Nonlinear Computational Treatment for Couple Stress Fluid Flow with Cattaneo-Christov Double Diffusion and Homogeneous-Heterogeneous Reactions

2018 ◽  
Vol 17 (1) ◽  
Author(s):  
Tasawar Hayat ◽  
Tayyaba Ayub ◽  
Taseer Muhammad ◽  
Bashir Ahmad
Keyword(s):  
Boundary Layer ◽  
Mass Transfer ◽  
Heat And Mass Transfer ◽  
Couple Stress ◽  
Three Dimensional ◽  
Double Diffusion ◽  
Convergent Series ◽  
Heterogeneous Reactions ◽  
Optimal Homotopy Analysis Method ◽  
Transfer Rates

Abstract This paper addresses three-dimensional (3D) flow of couple stress material with Cattaneo-Christov double diffusion and homogeneous-heterogeneous reactions. A linear bi-directional stretchable surface is used to generate the flow. Thermal and concentration diffusions are considered by introducing Cattaneo-Christov heat and mass fluxes. Equal diffusion coefficients are considered for both auto catalyst and reactants. Boundary layer approach is used to simplify the governing system of partial differential equations. Suitable relations are used to nondimensionalize the boundary layer expressions. The valid convergent series solution are established by means of optimal homotopy analysis method (OHAM). The role of various pertinent parameters on the solutions are investigated through graphs. Moreover skin friction coefficients and heat and mass transfer rates are computed and analyzed. It is observed that heat and mass transfer rates are higher for larger thermal and concentration relaxation parameters.

scholarly journals Exact solutions for MHD flow of couple stress fluid with heat transfer

2016 ◽  
Vol 24 (1) ◽  
pp. 125-129 ◽  
Author(s):  
Najeeb Alam Khan ◽  
Hassam Khan ◽  
Syed Anwar Ali
Keyword(s):  
Heat Transfer ◽  
Exact Solutions ◽  
Couple Stress ◽  
Mhd Flow ◽  
Couple Stress Fluid

scholarly journals Soret and dufour effects on free convection flow of a couple stress fluid in a vertical channel with chemical reaction

2013 ◽  
Vol 19 (1) ◽  
pp. 45-55 ◽  
Author(s):  
D. Srinivasacharya ◽  
K. Kaladhar
Keyword(s):  
Differential Equations ◽  
Chemical Reaction ◽  
Couple Stress ◽  
Vertical Channel ◽  
Couple Stress Fluid ◽  
Convection Flow ◽  
Parallel Plates ◽  
Soret And Dufour Effects ◽  
Similarity Transformations ◽  
Dufour Number

The Soret and Dufour effects in the presence of chemical reaction on natural convection heat and mass transfer of a couple stress fluid in a vertical channel formed by two vertical parallel plates is presented. The governing non-linear partial differential equations are transformed into a system of ordinary differential equations using similarity transformations. The resulting equations are then solved using Homotopy Analysis Method (HAM). Profiles of dimensionless velocity, temperature and concentration are shown graphically for various values of Dufour number, Soret number, Couple stress parameter and chemical reaction parameter.

Mixed convection flow of couple stress fluid between rotating discs with chemical reaction and double diffusion effects

2016 ◽  
Vol 5 (4) ◽  
Author(s):  
K. Kaladhar ◽  
D. Srinivasacharya
Keyword(s):  
Chemical Reaction ◽  
Couple Stress ◽  
Double Diffusion ◽  
Couple Stress Fluid ◽  
Convection Flow ◽  
Rotating Disks ◽  
Soret And Dufour Effects ◽  
Rotating Discs ◽  
Diffusion Effects ◽  
Lower Disc

AbstractThe chemical reaction, Soret and Dufour effects on steady flow of a couple stress fluid between two rotating disks are studied. The lower disc is rotating with angular velocity

scholarly journals Analytical solution of MHD free convective flow of couple stress fluid in an annulus with Hall and ion-slip effects

2011 ◽  
Vol 16 (4) ◽  
pp. 477-487 ◽  
Author(s):  
Darbhashayanam Srinivasacharya ◽  
Kolla Kaladhar
Keyword(s):  
Differential Equations ◽  
Couple Stress ◽  
Circular Cylinders ◽  
Couple Stress Fluid ◽  
Electrically Conducting ◽  
Linear Partial Differential Equations ◽  
Similarity Transformations ◽  
Slip Effects ◽  
Homotopy Analysis ◽  
Ion Slip

This paper presents the Hall and Ion-slip effects on electrically conducting couple stress fluid flow between two circular cylinders in the presence of a temperature dependent heat source. The governing non-linear partial differential equations are transformed into a system of ordinary differential equations using similarity transformations and then solved using homotopy analysis method (HAM). The effects of the magnetic parameter, Hall parameter, Ion-slip parameter and couple stress fluid parameter on velocity and  temperature are discussed and shown graphically.

scholarly journals Analysis of newly developed fractal-fractional derivative with power law kernel for MHD couple stress fluid in channel embedded in a porous medium

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Muhammad Arif ◽  
Poom Kumam ◽  
Wiyada Kumam ◽  
Ali Akgul ◽  
Thana Sutthibutpong
Keyword(s):  
Porous Media ◽  
Fractional Derivative ◽  
Power Law ◽  
Real World ◽  
Couple Stress ◽  
Mhd Flow ◽  
External Pressure ◽  
Couple Stress Fluid ◽  
Fractional Model ◽  
The Right

AbstractFractal-fractional derivative is a new class of fractional derivative with power Law kernel which has many applications in real world problems. This operator is used for the first time in such kind of fluid flow. The big advantage of this operator is that one can formulate models describing much better the systems with memory effects. Furthermore, in real world there are many problems where it is necessary to know that how much information the system carries. To explain the memory in a system fractal-fractional derivatives with power law kernel is analyzed in the present work. Keeping these motivation in mind in the present paper new concept of fractal-fractional derivative for the modeling of couple stress fluid (CSF) with the combined effect of heat and mass transfer have been used. The magnetohydrodynamics (MHD) flow of CSF is taken in channel with porous media in the presence of external pressure. The constant motion of the left plate generates the CSF motion while the right plate is kept stationary. The non-dimensional fractal-fractional model of couple stress fluid in Riemann–Liouville sense with power law is solved numerically by using the implicit finite difference method. The obtained solutions for the present problem have been shown through graphs. The effects of various parameters are shown through graphs on velocity, temperature and concentration fields. The velocity, temperature and concentration profiles of the MHD CSF in channel with porous media decreases for the greater values of both fractional parameter $$\alpha$$ α and fractal parameter $$\beta$$ β respectively. From the graphical results it can be noticed that the fractal-fractional solutions are more general as compared to classical and fractional solutions of CSF motion in channel. Furthermore, the fractal-fractional model of CSF explains good memory effect on the dynamics of couple stress fluid in channel as compared to fractional model of CSF. Finally, the skin friction, Nusselt number and Sherwood number are evaluated and presented in tabular form.

Transient Couple Stress Fluid Past a Vertical Cylinder With Bejan’s Heat and Mass Flow Visualization for Steady-State

2015 ◽  
Vol 137 (3) ◽  
Author(s):  
H. P. Rani ◽  
G. Janardhan Reddy ◽  
Chang Nyung Kim ◽  
Y. Rameshwar
Keyword(s):  
Boundary Layer ◽  
Steady State ◽  
Flow Visualization ◽  
Boundary Layer Flow ◽  
Couple Stress ◽  
Vertical Cylinder ◽  
Couple Stress Fluid ◽  
Layer Flow ◽  
Flow Variables ◽  
Mass Functions

In the present study, the transient, free convective, boundary layer flow of a couple stress fluid flowing over a vertical cylinder is investigated, and the heat and mass functions for the final steady-state of the present flow are developed. The solution of the time dependent nonlinear and coupled governing equations is obtained with the aid of an unconditionally stable Crank–Nicolson type of numerical scheme. Numerical results for the time histories of the skin-friction coefficient, Nusselt number, and Sherwood number as well as the steady-state velocity, temperature, and concentration are presented graphically and discussed. Also, it is observed that time required for the flow variables to reach the steady-state increases with the increasing values of Schmidt and Prandtl numbers, while the opposite trend is observed with respect to the buoyancy ratio parameter. To analyze the flow variables in the steady-state, the heatlines and masslines are used in addition to streamlines, isotherms, and isoconcentration lines. When the heat and mass functions are properly made dimensionless, its dimensionless values are related to the local and overall Nusselt and Sherwood numbers. Boundary layer flow visualization indicates that the heatlines and masslines are dense in the vicinity of the hot wall, especially near the leading edge.

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