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1

Effects of variable fluid properties and mixed convection on biomagnetic fluid flow and heat transfer over a stretching sheet in the presence of magnetic dipole

Murtaza M. G., Alam Jahangir, Tzirtzilakis E. E., Shamshuddin Md., Ferdows M.

Journal of Power Technologies

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2023

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Vol. 103, nr 4

193--208

EN

This investigations covers the numerical analysis of a steady biomagnetic fluid flow (BFD) that passed through a two dimensional stretching sheet under the influence of magnetic dipole. The effect of fluid variable viscosity and thermal conductivity are also taken into consideration as assumed to vary as linear function of temperature. Our model mathematically formulated for BFD namely blood which consist of principles of magnetohydrodynamic (MHD) and ferrohydrodynamic (FHD), where blood treated as an electrically conducting fluid as well as polarization. Using similarity transformations, the governing system of partial differential equations are transferred into system of ordinary differential equations (ODE). The resulting coupled non linear ODE is numerically solved by employing bvp4c function technique available in MATLAB software. The effects of pertinent parameters namely ferromagnetic interaction parameter, magnetic field parameter, mixed convection parameter, viscosity variation parameter, Prandtl number, thermal conductivity parameter etc are plotted and discussed adequately for velocity and temperature profile as well as skin friction coefficient and rate of heat transfer. The results revels that velocity profile decreases as enhanced values of ferromagnetic number whereas temperature profile increased. Also found that skin friction coefficient reduces and rate of heat transfer increases by increasing values of thermal conductivity parameter and viscosity variation parameter. For numerical validation a comparisons has been made for some specific values with previous investigators. We hope that the present analysis will present in bio-medical and bio-engineering sciences.

2

Heat transfer effects on carbon nanotubes along a moving flat plate subjected to uniform heat flux

Ferdows M., Shamshuddin Md., Reza Motahar, Ara Quadir Raushan

International Journal of Applied Mechanics and Engineering

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2022

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Vol. 27, no. 4

66--81

EN

In the present paper, a theoretical analysis is made to investigate fluid flow and heat energy transformation features of single and multi-walled water functionalized carbon nanotubes (CNTs) with uniform heat inconstancy boundary conditions onward a flat plate. The liquid motion and momentum transfer of carbon nanotubes (CNTs) have been analyzed using a homogeneous flow model. Both single-wall CNTs (SWCNTs) and multi-wall CNTs (MWCNTs) used base fluids, namely, water. The thermophysical characteristics of CNTs regarding the solid volume fraction of CNTs are studied by applying empirical correlations. Similarity transformations have been used to the governing partial differential equations turning them into ordinary differential equations. The outcome of similarity transformations which are nonlinear ordinary differential equations subjected to reconstructed boundary conditions, are subsequently solved numerically using bvp4c. The effects of the governing parameters on the dimensionless velocity, temperature, and skin friction are investigated numerically and graphically. An increase in the volume fraction and the velocity ratio parameter increase the flow, the velocity, and the temperature profile. Regardless of any physical parameter, SWCNTs give better heat transfer than MWCNTs.

3

Electrically conducting flow through exponential power law fluid with variable thermal conductivity

Ferdows M., Bangalee M. Z. I., Liu D.

International Journal of Applied Mechanics and Engineering

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2019

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Vol. 24, no. 3

539--548

EN

The problem of exponential law of steady, incompressible fluid flow in boundary layer and heat transfer are studied in an electrically conducting fluid over a semi-infinite vertical plate assuming the variable thermal conductivity in the presence of a uniform magnetic field. The governing system of equations including the continuity equation, momentum equation and energy equation have been transformed into nonlinear coupled ordinary differential equations using appropriate similarity variables. All the numerical and graphical solutions are obtained through the use of Maple software. The solutions are found to be dependent on three dimensionless parameters including the magnetic field parameter M, thermal conductivity parameter and Prandtl number Pr. Representative velocity and temperature profiles are presented at various values of the governing parameters. The skin-friction coefficient and the rate of heat transfer are also calculated for different values of the parameters.

4

Chemically reacting ionized radiative fluid flow through an impulsively started vertical plate with induced magnetic field

Ahmed T., Alam M. M., Ferdows M., Tzirtzilakis E. E.

International Journal of Applied Mechanics and Engineering

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2019

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Vol. 24, no. 1

5--36

EN

Numerical studies have been performed to examine the chemically reacting ionized fluid flow through a vertical plate with induced magnetic field. This study is performed for the cooling problem. To obtain the nondimensional non-similar momentum, the induced magnetic field, energy and concentration equations, usual nondimensional variables have been used. The numerical solutions for the velocity fields, induced magnetic fields, temperature distribution as well as concentration distribution are obtained for associated parameters using the explicit finite difference method. The local and average shear stresses, current densities, Nusselt number as well as the Sherwood number are also investigated. The obtained results are discussed with the help of graphs to observe effects of various parameters entering into the problem. Also the stability conditions of the explicit finite difference method are analyzed. Finally, a qualitative comparison of the present results with previously published results has been made.

5

Numerical solution of three dimensional unsteady biomagnetic flow and heat transfer through stretching/shrinking sheet using temperature dependent magnetization

Murtaza M. G., Tzirtzilakis E. E., Ferdows M.

Archives of Mechanics

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2018

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Vol. 70, nr 2

161--185

EN

The problem of biomagnetic fluid flow and heat transfer in the three-dimensional unsteady stretching/shrinking sheet is examined. Our model is the version of biomagnetic fluid dynamics (BFD) which is consistent with the principles of ferrohydrodynamics (FHD). Our main contribution is the study of the three dimensional time dependent BFD flow which has not been considered yet to our best knowledge. The physical problem is described by a coupled, nonlinear system of ordinary differential equations subject to appropriate boundary conditions. The solution is obtained numerically by applying an effcient numerical technique based on the fnite difference method. Computations are performed for a wide range of the governing parameters such as ferromagnetic interaction parameter, unsteadiness parameter, stretching parameter and other involved parameters. The effect of these parameters on the velocity and temperature fields are examined. We observed that for the decelerated flow, the velocity profile overlap with the increasing unsteadiness parameter and we also found that the skin friction coefficient is decreased for a shrinking sheet whereas, opposite behavior is shown for the stretching sheet. We also monitored the rate of the heat transfer coefficient with the ferromagnetic interaction parameter and showed opposite behavior for stretching and shrinking sheets. Our results are also compared for specific values of the parameters with others documented in literature.

6

Ferdows M., Liu D.

International Journal of Applied Mechanics and Engineering

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2017

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Vol. 22, no. 1

253--258

EN

The aim of this work is to study the mixed convection boundary layer flow from a horizontal surface embedded in a porous medium with exponential decaying internal heat generation (IHG). Boundary layer equations are reduced to two ordinary differential equations for the dimensionless stream function and temperature with two parameters: ε, the mixed convection parameter, and λ, the exponent of x. This problem is numerically solved with a system of parameters using built-in codes in Maple. The influences of these parameters on velocity and temperature profiles, and the Nusselt number, are thoroughly compared and discussed.

7

Thermal radiation effects on natural convection flow past a semi-infinite vertical porous plate in a porous medium with internal heat generation

Ferdows M., Kaino K., Crepeau J. C.

International Journal of Applied Mechanics and Engineering

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2008

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Vol. 13, no 1

277-280

8

Flow through a rotating helical pipe with a wide range of the Dean number

Alam M. M., Ota M., Ferdows M., Islamv M. N., Wahiduzzaman M., Yamamoto K.

Archives of Mechanics

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2007

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Vol. 59, nr 6

501-517

EN

THE INCOMPRESSIBLE viscous steady flow through a helical pipe of circular cross-section, rotating at a constant angular velocity about the center of curvature is investigated numerically to examine the combined effects of rotation (Coriolis force), torsion and curvature (centrifugal force) on the flow. The flow depends on the Taylor number Tr =…, the Dean number Dn =…- , the torsion parameter … and the dimensionless curvature of the duct …, where a is the radius of the helical pipe, HT the angular velocity, // the viscosity, v the kinematic viscosity, G the constant pressure gradient along the pipe axis and … - a parameter related to the torsion T and curvature 5, When … > 0, the rotation is in the direction in which the Coriolis force produces the curvature effect. When QT < 0, the rotation is in the direction in which the Coriolis force exhibits an opposite effect to that of curvature. The calculations are carried out for -500 < Tr < 500, 1500 < Dn < 2000 (large Dean number), 0 < (30 < 0.4 and 0 < … < 0.2. The total flux through the duct has a sharp peak at a negative Tr.

9

Dufour and soret effects on steady free convection and mass transfer flow past a semi-infinite vertical porous plate in a porous medium

Alam M. S., Ferdows M., Ota M., Maleque M. A.

International Journal of Applied Mechanics and Engineering

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2006

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Vol. 11, no 3

535-545

EN

Steady two-dimensional free convection and mass transfer flow past a continuously moving semi-infinite vertical porous plate in a porous medium is studied theoretically, by taking into account the Dufour and Soret effects. The similarity equations of the problem considered are obtained by using usual similarity technique. The resulting equations are then solved numerically by shooting method using Runge-Kutta sixth-order integration scheme. The non-dimensional velocity, temperature and concentration profiles are displayed graphically for different values of the parameters entering into the problem. In addition, the skin-friction coefficient, the Nusselt number and Sherwood number are shown in tabular form.