scholarly journals Effects of Magnetohydrodynamics and Heat Transfer in Casson Fluid Through a Channel

2021 ◽  
Vol 17 (4) ◽  
pp. 416-429
Author(s):  
Wan Faezah Wan Azmi ◽  
Ahmad Qushairi Mohamad ◽  
Yeak Su Hoe ◽  
Zaiton Mat Isa ◽  
Sharidan Shafie
Keyword(s):  
Magnetic Field ◽  
Prandtl Number ◽  
Fluid Velocity ◽  
Vertical Channel ◽  
Casson Fluid ◽  
Temperature Profiles ◽  
Transform Method ◽  
Grashof Number ◽  
Dimensionless Parameters ◽  
Mutual Agreement

Unsteady flow of Casson fluid past through a vertical channel has been studied by some researchers due to its importance of applications in science and technology. Therefore, the main purpose of this paper is to obtain exact solutions for unsteady free convection flows of Casson fluid with effects of magnetohydrodynamics (MHD) past through vertical channel. This paper is continued study from published article [18] with additional effects of magnetohydrodynamics (MHD). Dimensional governing equations are converted into dimensionless forms by using appropriate dimensionless variables. Dimensionless parameters are obtained through dimensionless process such as Casson fluid, time, Prandtl number, Grashof number and magnetic field. Laplace transform method is used to solve the dimensionless equations with associated initial and boundary conditions. Solutions for velocity and temperature profiles are obtained. Skin friction and Nusselt number are also calculated. The obtained analytical results for velocity and temperature are plotted graphically to discuss the influence of dimensionless parameters on profiles. It is observed that fluid velocity increases with increases of Grashof number, Gr and time, t whereas it decreases with increases of Casson parameter, γ, magnetic field parameter, M and Prandtl number, Pr. Besides that, it is found that temperature profiles decrease with high value of Prandtl number, Pr while increases with high value of time, t. In order to validate the results, the obtained results in limiting cases are compared with the published results and it is found to be in a mutual agreement.

scholarly journals Exact solution for unsteady free convection flow of Casson fluid in vertical channel

2018 ◽  
Vol 189 ◽  
pp. 01007
Author(s):  
Mohamad Ahmad Qushairi ◽  
Jiann Lim Yeou ◽  
Sharidan Shafie ◽  
Ilyas Khan ◽  
Zulkhibri Ismail
Keyword(s):  
Exact Solution ◽  
Free Convection ◽  
Prandtl Number ◽  
Exact Solutions ◽  
Vertical Channel ◽  
Casson Fluid ◽  
Convection Flow ◽  
Temperature Profiles ◽  
Free Convection Flow ◽  
Fluid Parameter

The influence of free convection flow on unsteady Casson fluid over a vertical channel is studied in this paper. The governing equation consists of partial differential momentum and energy equations have been transformed into non-dimensional equations by using the appropriate nondimensional variables. The expression of exact solutions for nondimensional velocity and temperature profiles are obtained by using the Laplace transform method. The obtained exact solutions are found satisfied all the initial and boundary conditions. The behaviour of velocity and temperature profiles influenced by Casson fluid parameter, Grashof number, Prandtl number and time are plotted graphically and presented in tables. It can be observed that, the velocity profile and boundary layer thickness decrease when the values of Casson fluid parameter and Prandtl number increase. This is due to the increase of viscous force and retard the movement of the velocity. The present result is validated when the obtained exact solution of velocity is compared with published result and found in a good agreement.

Mathematical Study of Imposed Magnetic Field on Radiative Hydromagnetic Casson Fluid Flow in a Micro-Channel with Asymmetric Heating

2021 ◽  
Vol 10 (4) ◽  
pp. 478-490
Author(s):  
M. Venkateswarlu ◽  
P. Bhaskar
Keyword(s):  
Magnetic Field ◽  
Prandtl Number ◽  
Thermal Radiation ◽  
Current Density ◽  
Liquid Velocity ◽  
Magnetic Domain ◽  
Casson Fluid ◽  
Skin Friction Coefficient ◽  
Micro Channel ◽  
Suction Parameter

The work of steady hydromagnetic stream of Casson liquid in a micro-channel constructed by two indefinite vertical proportionate walls in the appearance of thermal radiation is presented in this article. The effect of an imposed magnetic domain appearing scheduled to movement of an electrically administrating liquid is adopted into account. The exact solutions of the liquid velocity, imposed magnetic domain, and temperature domain have been obtained. Also, the analytical expressions for the skin-friction coefficient and imposed current density are obtained. The basic aspiration of this article is to reinvestigate the supremacy of pertinent physical constraints like magnetic Prandtl number, injection/suction parameter, Hartmann number, thermal radiation parameter, rarefaction parameter, wall ambient temperature difference ratio, and liquid wall interaction parameter over the imposed magnetic field and velocity of the liquid. Lorentz force which is obtained from magnetic field has a propensity to decline the motion of liquid and imposed magnetic field. The imposed current density rises with an enhancement in the hydromagnetic Prandtl number. This study is applied in the machines like transformers, generators, and motors work on the principle of electromagnetic induction. Results are compared with the literature in the limiting case.

scholarly journals UNSTEADY MHD FLOW OF RADIATING CASSON FLUID THROUGH A PERMEABLE CHANNEL WITH SLIP, BUOYANCY FORCE AND HEAT SOURCE

2020 ◽  
Vol 50 (4) ◽  
pp. 315-320
Author(s):  
Om Prakash Verma ◽  
Oluwole Daniel Makinde ◽  
R. L. Monaledi
Keyword(s):  
Heat Transfer ◽  
Heat Source ◽  
Skin Friction ◽  
Buoyancy Force ◽  
Fluid Velocity ◽  
Vertical Channel ◽  
Wall Slip ◽  
Mhd Flow ◽  
Casson Fluid ◽  
Left Wall

Analytical investigation is performed into an unsteady Magnetohrodynamics mixed convective Casson fluid flow and heat transfer characteristics with thermal radiation, wall slip, heat source and buoyancy force in a permeable vertical channel. The fluid is injected into the left wall of the channel and sucked out at right wall. The governing momentum and energy balance equations are achieved and tackled analytically. The effects of numerous thermophysical parameters on the temperature profiles, velocity, Nusselt number as well as skin friction are presented graphically and discussed qualitatively. The results show that a temporal decline in the pressure gradient causes both the temperature and fluid velocity to decrease. Moreover, the enhancement in heat transfer due to wall injection/suction also causes the skin friction to decrease.

Study of Carbon Nanotubes with a Casson Fluid in a Vertical Channel of Porous Media under MHD and Dufour Effect

2021 ◽  
Vol 13 (1) ◽  
pp. 31-45
Author(s):  
S. Hazarika ◽  
S. Ahmed
Keyword(s):  
Carbon Nanotubes ◽  
Volume Fraction ◽  
Saturated Porous Medium ◽  
Fluid Velocity ◽  
Vertical Channel ◽  
Casson Fluid ◽  
Engine Oil ◽  
Single Wall Carbon Nanotubes ◽  
Physical Parameters ◽  
The Impact

An analysis is conducted to investigate the problem of heat/mass transfer in MHD free convective flow of Casson-fluid in a vertical channel embedded with saturated porous medium past through carbon nanotubes in the form of single-wall carbon nanotubes (SWCNTs) and multiple-wall carbon nanotubes (MWCNTs) with engine oil as base fluid. In this article, the impact of CNT’s on velocity, temperature, shear stress and rate of heat transfer of the nanofluid has been investigated and studied graphically for the effects of different key physical parameters involved. The validity of this flow model is presented and is found satisfactory agreement with published results. The results state that, fluid velocity accelerates for greater values of Casson parameter and nanoparticles volume fraction, while thermal radiation (R) and heat generation (Q) assume a significant role in CNT's. Applications of this study arise in broad area of science and engineering such as thermal conductivity, energy storage, biomedical applications, air and water filtration, fibers and fabrics.

Unsteady Magnetohydrodynamic Mixed Convective Flow of a Reactive Casson Fluid in a Vertical Channel Filled with a Porous Medium

2021 ◽  
Vol 408 ◽  
pp. 33-49
Author(s):  
Lazarus Rundora
Keyword(s):  
Magnetic Field ◽  
Heat Transfer ◽  
Porous Medium ◽  
Fluid Flow ◽  
Vertical Channel ◽  
Casson Fluid ◽  
Convection Flow ◽  
Temperature Dependent ◽  
Temperature Dependent Viscosity ◽  
Dependent Viscosity

This article analyses the thermal decomposition in an unsteady MHD mixed convection flow of a reactive, electrically conducting Casson fluid within a vertical channel filled with a saturated porous medium and the influence of the temperature dependent properties on the flow. The fluid is assumed to be incompressible with the viscosity coefficient varying exponentially with temperature. The flow is subjected to an externally applied uniform magnetic field. The exothermic chemical kinetics inherent in the flow system give rise to heat dissipation. A technique based on a semi-discretization finite difference scheme and the shooting method is applied to solve the dimensionless governing equations. The effects of the temperature dependent viscosity, the magnetic field and other important parameters on the velocity and temperature profiles, the wall shear stress and the wall heat transfer rate are presented graphically and discussed quantitatively and qualitatively. The fluid flow model revealed flow characteristics that have profound ramifications including the increased heat transfer enhancement attributes of the reactive temperature dependent viscosity Casson fluid flow.

scholarly journals MHD free convection flow of Casson fluid over a permeable nonlinearly stretching sheet with chemical reaction

2017 ◽  
Vol 13 (3) ◽  
Author(s):  
Imran Ullah ◽  
Sharidan Shafie ◽  
Ilyas Khan
Keyword(s):  
Differential Equations ◽  
Free Convection ◽  
Chemical Reaction ◽  
Stretching Sheet ◽  
Fluid Velocity ◽  
Casson Fluid ◽  
Convection Flow ◽  
Free Convection Flow ◽  
Grashof Number ◽  
Keller Box Method

The problem of heat and mass transfer free convection flow of Casson fluid over a porous nonlinear stretching sheet in the presence of chemical reaction is investigated. Moreover the effect of magnetic field is also considered. The governing partial differential equations are transformed into ordinary differential equations by making use of suitable transformations and then solved numerically via Keller-box method. The results for skin friction are compared with previous results of the existing literature. The results are also reflected in good agreement. It is noted that concentration of Casson fluid reduces rapidly by increasing Schmidt number and chemical parameter. Also, thermal Grashof number and mass Grashof number enhance the momentum boundary layer thickness, whereas increment in chemical reaction parameter reduces the heat transfer rate. Moreover, both the fluid velocity and wall shear stress are observed to be decreased with increment in suction/blowing parameter.

scholarly journals Thermal performance for electromagnetohydrodynamic flow of non-Newtonian Casson fluid through porous microtube

2020 ◽  
Vol 9 (3) ◽  
pp. 804
Author(s):  
Motahar Reza ◽  
Amalendu Rana ◽  
Raghunath Patra
Keyword(s):  
Magnetic Field ◽  
Heat Transfer ◽  
Fluid Flow ◽  
Flow Rate ◽  
Flow Distribution ◽  
Casson Fluid ◽  
Temperature Profiles ◽  
Heat Flow Rate ◽  
Pressure Gradients ◽  
Kinetic Effects

A theoretical investigation is done to analyze the heat transfer features of non-Newtonian Casson fluid in a porous microtube with electro kinetic effects associated with the applied magnetic field. The exact analytical solutions the velocity and temperature profiles of non-Newtonian Casson fluid in porous micro-tube related to combining effects of electromagnetohydrodynamics forces and electrokinetic forces have been obtained using a variation of parameter. Temperature and flow distribution characteristics of Casson fluid flow are controlled by the obtruded pressure-gradients, applied a magnetic field and electro-kinetic forces. The exciting features of the electromagnetohydrodynamics flow along with the features of the heat flow rate are examined by variation in the non-dimensional physical arguments on velocity and temperature functions. The effect of the Casson parameter on the velocity and temperature profiles has been investigated analyzed. The fluid flow rate and the heat transfer rate of Casson fluid within porous micro-tube is controlled by the strength applied electric and magnetic field. 

scholarly journals Induced magnetic field and viscous dissipation on flows of two immiscible fluids in a rectangular channel

2022 ◽  
Vol 12 (1) ◽  
Author(s):  
Nehad Ali Shah ◽  
Hussam Alrabaiah ◽  
Dumitru Vieru ◽  
Se-Jin Yook
Keyword(s):  
Magnetic Field ◽  
Viscous Dissipation ◽  
Fluid Velocity ◽  
Rectangular Channel ◽  
Immiscible Fluids ◽  
Temperature Fields ◽  
Induced Magnetic Field ◽  
Transform Method ◽  
Approximate Analytical Solutions ◽  
The Laplace Transform

AbstractThe unsteady, magneto-hydrodynamic generalized Couette flows of two immiscible fluids in a rectangular channel with isothermal walls under the influence of an inclined magnetic field and an axial electric field have been investigated. Both fluids are considered electrically conducting and the solid boundaries are electrically insulated. Approximate analytical solutions for the velocity, induced magnetic, and temperature fields have been determined using the Laplace transform method along with the numerical Stehfest's algorithm for the inversion of the Laplace transforms. Also, for the nonlinear differential equation of energy, a numerical scheme based on the finite differences has been developed. A particular case has been numerically and graphically studied to show the evolution of the fluid velocity, induced magnetic field, and viscous dissipation in both flow regions.

Free convection flow with chemical reaction effect between oscillating parallel plates

2021 ◽  
Vol 2 (2) ◽  
pp. 52-59
Author(s):  
F. Zulkiflee ◽  
S. Shafie ◽  
A. Ali ◽  
A.Q. Mohamad
Keyword(s):  
Free Convection ◽  
Prandtl Number ◽  
Skin Friction ◽  
Chemical Reaction ◽  
Schmidt Number ◽  
Convection Flow ◽  
Parallel Plates ◽  
Free Convection Flow ◽  
Transform Method ◽  
Grashof Number

This research purpose is to investigate the exact solutions for unsteady free convection flow between oscillating parallel plates with mass diffusion and chemical reaction. The governing equations are modelled and reduced using non-dimensional variables. The method used is Laplace transform method. Solutions for velocity, temperature, and concentration fields as well as skin friction, Nusselt and Sherwood number are obtained. For physical understanding, analytical results for velocity, temperature and concentration profile are plotted graphically with respect to the Schmidt number, Prandtl number, oscillating parameter, Grashof number, mass Grashof number and chemical reaction parameter. Increasing Prandtl number and Schmidt number decreases the concentration, velocity, temperature, and skin friction but increases the Sherwood and Nusselt numbers.

Magnetohydrodynamic Convective Double Diffusive Laminar Boundary Layer Flow Past an Accelerated Vertical Plate

2015 ◽  
Vol 20 ◽  
pp. 80-92 ◽  
Author(s):  
P. Chandra Reddy ◽  
M.C. Raju ◽  
G.S.S. Raju
Keyword(s):  
Prandtl Number ◽  
Variable Temperature ◽  
Fluid Velocity ◽  
Porous Plate ◽  
Physical Parameters ◽  
Fluid Temperature ◽  
Grashof Number ◽  
Flow Past ◽  
Soret Number ◽  
Dufour Number

This manuscript presents the diffusion thermo and thermo diffusion effects on unsteady MHD natural convection heat and mass transfer flow past an accelerated vertical porous plate in the presence of thermal radiation, variable temperature and also variable concentration. The non-dimensional governing equations are coupled non-linear partial differential equations for which the exact solution is not possible. Hence these equations are solved numerically by using finite difference scheme. The effects of different physical parameters involved in the problem are presented and discussed with the help of graphs. The fluid velocity increases with the increasing values of Grashof number, modified Grashof number, Soret number, Dufour number and permeability of the porous medium, but a reverse behavior is found in the case of magnetic parameter and Prandtl number. The fluid temperature falls down for increasing values of radiation parameter, heat sink parameter and Prandtl number, whereas enhancement in the fluid temperature is found in the case of Soret and Dufour effects. Increasing values of Soret number results in rising of the concentration, but it falls down under the influence of Dufour number and Schmidt number.

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