Computational Study of Mixed Convection Flow with Algebraic Decay of Mainstream Velocity in the Presence of Applied Magnetic Field

An analysis is performed to investigate the mixed convection flow over a vertical cone with an applied magnetic field when the axis of the cone is in line with the flow. The results have been obtained for assisting and opposing flows. The partial differential equations governing the non-similar flow have been solved by an implicit finite difference scheme in combination with the quasilinearization technique. Numerical results are reported here to account the effects of magnetic field in presence of buoyancy parameter at different stream wise locations on skin friction and heat transfer coefficients.

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Homotopy Analysis Solution of Hydromagnetic Mixed Convection Flow Past an Exponentially Stretching Sheet with Hall Current

Mathematical Problems in Engineering ◽

10.1155/2012/454023 ◽

2012 ◽

Vol 2012 ◽

pp. 1-26 ◽

Cited By ~ 3

Author(s):

Mohamed Abd El-Aziz ◽

Tamer Nabil

Keyword(s):

Magnetic Field ◽

Mixed Convection ◽

Convection Flow ◽

Mixed Convection Flow ◽

Electrically Conducting ◽

Hall Parameter ◽

Homotopy Analysis ◽

Continuous Sheet ◽

Exponentially Stretching ◽

The Magnetic Field

The effect of thermal radiation on steady hydromagnetic heat transfer by mixed convection flow of a viscous incompressible and electrically conducting fluid past an exponentially stretching continuous sheet is examined. Wall temperature and stretching velocity are assumed to vary according to specific exponential forms. An external strong uniform magnetic field is applied perpendicular to the sheet and the Hall effect is taken into consideration. The resulting governing equations are transformed into a system of nonlinear ordinary differential equations using appropriate transformations and then solved analytically by the homotopy analysis method (HAM). The solution is found to be dependent on six governing parameters including the magnetic field parameterM, Hall parameterm, the buoyancy parameterξ, the radiation parameterR, the parameter of temperature distributiona, and Prandtl number Pr. A systematic study is carried out to illustrate the effects of these major parameters on the velocity and temperature distributions in the boundary layer, the skin-friction coefficients, and the local Nusselt number.

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MHD Mixed Convection Micropolar Fluid Flow through a Rectangular Duct

Mathematical Problems in Engineering ◽

10.1155/2018/9840862 ◽

2018 ◽

Vol 2018 ◽

pp. 1-8 ◽

Cited By ~ 1

Author(s):

Mekonnen Shiferaw Ayano ◽

Stephen T. Sikwila ◽

Stanford Shateyi

Keyword(s):

Magnetic Field ◽

Differential Equations ◽

Mixed Convection ◽

Applied Magnetic Field ◽

Flow Reversal ◽

Convection Flow ◽

Temperature Profiles ◽

Rectangular Duct ◽

Micropolar Fluid Flow ◽

Flow Through

Mixed convection flow through a rectangular duct with at least one of the sides of the walls of the rectangle being isothermal under the influence of transversely applied magnetic field has been analyzed numerically in this study. The governing differential equations of the problem have been transformed into a system of nondimensional differential equations and then solved numerically. The dimensionless velocity, microrotation components, and temperature profiles are displayed graphically showing the effects of various values of the parameters present in the problem. The results showed that the flow field is notably influenced by the considered parameters. It is found that increasing the aspect ratio increases flow reversal, commencement of the flow reversal is observed after some critical value, and the applied magnetic field increases the flow reversal in addition to flow retardation. The microrotation components flow in opposite direction; also it is found that one component of the microrotation will show no rotational effect around the center of the duct.

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Periodic mixed convection flow along the surface of a thermally and electrically conducting cone

Thermal Science ◽

10.2298/tsci20s1225i ◽

2020 ◽

Vol 24 (Suppl. 1) ◽

pp. 225-235

Author(s):

Asifa Ilyas ◽

Muhammad Ashraf

Keyword(s):

Magnetic Field ◽

Heat Transfer ◽

Mixed Convection ◽

Current Density ◽

Magnetic Force ◽

Convection Flow ◽

Force Parameter ◽

Mixed Convection Flow ◽

Hydromagnetic Waves ◽

Periodic Components

The main aim of the present work is to highlight the significances of periodic mixed convection flow and heat transfer characteristics along the surface of magnetized cone by exerting magnetic field exact at the surface of the cone. The numerical simulations of coupled non-dimensional equations are computed in terms of velocity field, temperature and magnetic field concentration and then used to examine the periodic components of skin friction, ?w, heat transfer, qw, and current density, jw, for various governing parameters. A nice periodic behavior of heat transfer qw is concluded for each value of mixed convection parameter, ?, but maximum periodicity is sketched at ? = 50. It is also computed that the lower value of magnetic Prandtl number ? = 0.1 gets poor amplitude in current density but highest amplitude is sketched for higher ? = 0.5. The behavior of heat and fluid-flow in the pres?ence of aligned magnetic field is associated with the phase angle and amplitude of oscillation. It is also noted that due to the increase in magnetic force parameter, ?, there are wave like disturbances generate within the fluid layers. These disturbances are basically hydromagnetic waves which becomes more prominent as the strength of magnetic force parameter is increased.

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Computational Study of the Coupled Mechanism of Thermophoretic Transportation and Mixed Convection Flow around the Surface of a Sphere

Molecules ◽

10.3390/molecules25112694 ◽

2020 ◽

Vol 25 (11) ◽

pp. 2694

Author(s):

Amir Abbas ◽

Muhammad Ashraf ◽

Yu-Ming Chu ◽

Saqib Zia ◽

Ilyas Khan ◽

...

Keyword(s):

Mathematical Model ◽

Partial Differential Equations ◽

Differential Equations ◽

Mixed Convection ◽

Computational Study ◽

Convection Flow ◽

Mixed Convection Flow ◽

Partial Differential ◽

Primitive Form ◽

The Mathematical Model

The main goal of the current work was to study the coupled mechanism of thermophoretic transportation and mixed convection flow around the surface of the sphere. To analyze the characteristics of heat and fluid flow in the presence of thermophoretic transportation, a mathematical model in terms of non-linear coupled partial differential equations obeying the laws of conservation was formulated. Moreover, the mathematical model of the proposed phenomena was approximated by implementing the finite difference scheme and boundary value problem of fourth order code BVP4C built-in scheme. The novelty point of this paper is that the primitive variable formulation is introduced to transform the system of partial differential equations into a primitive form to make the line of the algorithm smooth. Secondly, the term thermophoretic transportation in the mass equation is introduced in the mass equation and thus the effect of thermophoretic transportation can be calculated at different positions of the sphere. Basically, in this study, some favorite positions around the sphere were located, where the velocity field, temperature distribution, mass concentration, skin friction, and rate of heat transfer can be calculated simultaneously without any separation in flow around the surface of the sphere.

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3D modelling of MHD mixed convection flow in a vertical duct with transverse magnetic field and volumetric or surface heating

Fusion Engineering and Design ◽

10.1016/j.fusengdes.2020.111834 ◽

2020 ◽

Vol 160 ◽

pp. 111834 ◽

Cited By ~ 2

Author(s):

Tyler J. Rhodes ◽

Gautam Pulugundla ◽

Sergey Smolentsev ◽

Mohamed Abdou

Keyword(s):

Magnetic Field ◽

Mixed Convection ◽

Transverse Magnetic Field ◽

Transverse Magnetic ◽

3D Modelling ◽

Surface Heating ◽

Convection Flow ◽

Mixed Convection Flow ◽

Vertical Duct

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Effects of Magnetic Field on an Unsteady Mixed Convection Flow of Nanofluids Containing Spherical and Cylindrical Nanoparticles

Journal of Heat Transfer ◽

10.1115/1.4032835 ◽

2016 ◽

Vol 138 (6) ◽

Cited By ~ 4

Author(s):

Kalidas Das ◽

Pinaki Ranjan Duari ◽

Prabir Kumar Kundu

Keyword(s):

Magnetic Field ◽

Mass Transfer ◽

Mixed Convection ◽

Time Dependent ◽

Convection Flow ◽

Temperature Profiles ◽

Mixed Convection Flow ◽

Shooting Technique ◽

Similarity Transformations ◽

Unsteady Mixed Convection

The present article gives a ray of light on the effects of magnetic field on an unsteady mixed convection flow of nanofluids containing nanoparticles which are spherical and cylindrical in nature. The unsteadiness in the flow is mainly caused by time dependent stretching velocity and temperature of the sheet at the surface. The governing transportation equations are first transformed into ordinary differential equations by using similarity transformations and then solved by employing Runga–Kutta–Frelberg method with shooting technique. The influence of various parameters on velocity and temperature profiles as well as wall shear stress and the rate of mass transfer are discussed through graphs and tables. The results for regular fluid (water) from the study are in excellent agreement with the results reported in the literature.

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