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Two-Dimensional Thin Layer Convective flow and Heat Transfer of a Dusty fluid on a Nonlinear Stretching Sheet

Multiscale Science and Engineering 2022年第3期4卷 111-118页

作者： Islam, Md. Robiul Ferdows, M. Misra, J. C. Murtaza, M. G. Research Group of Fluid Flow Modeling and Simulation Department of Applied Mathematics University of Dhaka Dhaka Bangladesh Department of Computer Science and Engineering Green University of Bangladesh Dhaka Bangladesh Centre for Healthcare Science and Technology Indian Institute of Engineering Science and Technology Howrah India Department of Mathematics Comilla University Cumilla Bangladesh

In this study, steady two-dimensional boundary layer flow and heat transfer of a dusty fluid over a nonlinearly stretching sheet with variable thickness, $${u}_{w} (x)={U}_fluid{(x+b)}^{m}$$ has been considered. A variable magnetic field is applied transversely to the direction of the flow. The general problem has been reduced to a system of coupled non-linear ordinary differential equations of two-dimensional boundary layer. By means of similarity transformation, the basic governing equations are transformed into a set of nonlinear ordinary differential equation and then are solved numerically by dsolve routine in MAPLE. Results of the present study have been duly validated by adopting an appropriate procedure. The influence of various parameters such as velocity power index, wall thickness parameter, magnetic parameter fluid-particle interaction parameter for velocity, fluid-particle interaction parameter for temperature, mass concentration of dust particle, Prandtl number, Eckert number has been investigated. The effects are then presented graphically both for dust phase and fluid phase. It is clear that flow field and other quantities of physical interest are significantly influenced by these parameters. Also the effects of the parameters on the skin-friction coefficients and rate of heat transfer in terms of the Nusselt number, which are of physical interest, are shown graphically/in tabular form. The study reveals that the impact of the parameters for the dusty fluid on Nusselt number is considerably higher than that for a clean fluid.

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Numerical Analysis of Thermal Convection in a CPU Chassis

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Open Journal of Modelling and simulation 2021年第1期9卷 43-58页

作者： M. Z. I. Bangalee Md. Mizanur Rahman M. Ferdows M. S. Islam Department of Applied Mathematics University of Dhaka Dhaka Bangladesh Research Group of Fluid Flow Modeling and Simulation Department Applied Mathematics University of Dhaka Dhaka Bangladesh Department of Mathematics University of Dhaka Dhaka Bangladesh

flow distribution and the effects of different boundary conditions are achieved for a steady-state conjugate (Conduction & Convection) heat transfer process. A plate fin heat sink with horizontal fin orientation along with a computer chassis is numerically investigated and simulated using software ANSYS CFX. Fin orientation of a heat sink changes the direction of fluid flow inside the chassis. For predicting turbulence of the flow inside the domain, a two-equation based k-ε turbulence model is chosen. The Reynolds number based on inflow velocity and geometry is found 4.2 × 10³ that indicates that the flow is turbulent inside the chassis. To get proper thermal cooling, the optimum velocity ratio of inlet/outlet, dimension of inlet/outlet and different positions of outlet on the back sidewall of the chassis are predicted. Aspect velocity ratio between the inlet airflow and the outlet airflow has an effect on the steadiness of the flow. Mass flow rate depends on the dimension of the inlet/outlet. The horizontal fin orientation with 1:

关键词： Reynolds Number Turbulence Model Heat Sink CPU Chassis Conduction Convection

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Mixed Convection flow Along Vertical Thin Needles Containing Gyrotactic Microorganism with Variable Heat, Mass and Motile Microorganism Flux

Research Square

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research Square 2021年

作者： Nima, Nayema Islam Alshuraiaan, Bader Ferdows, M. Research Group of Fluid Flow Modeling and Simulation Department of Applied Mathematics University of Dhaka Dhaka100 Bangladesh Department of Mechanical Engineering Kuwait University Safat13060 Kuwait

The problem of steady laminar mixed convection boundary layer flow along vertical thin needle with variable surface heat, mass and motile microorganism flux in the presence of gyrotactic microorganism is considered in this study. The dimensionless leading equations of continuity, momentum, concentraton and motile microorganism conservation are reduced to ordinary differential equations with the help of similarity transformations. The transformed governing equations are then numerically solved by using MATLAB BVP4C function. The research is reached to excellent argument by comparison in few cases between the results obtained from MATLAB and Maple algorithm with the help of dsolve command. Numerical calculations are carried out for various values of the dimensionless parameters of the problem which includes mixed convection parameter λ, power law index m, buoyancy parametersN1, N2, Lewis parameter Le, bioconvection lewis parameter Lb, Bioconvection peclet number Pe and also the parameter a representing the needle size. It is also shown from the results that the surface (wall) temperature, surface fluid concentration, surface motile microorganism concentration and the corresponding velocity, temperature, concentration and motile microorganism profiles are significantly induced by these parameters. The results are pictured and discussed in detail. © 2021, CC BY.

关键词： Needles

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Effects of non-darcy mixed convection over a horizontal cone with different convective boundary conditions incorporating gyrotactic microorganisms on dispersion

Research Square

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research Square 2021年

作者： Ferdows, M. Alshuraiaan, Bader Nima, Nayema Islam Research Group of Fluid Flow Modeling and Simulation Department of Applied Mathematics University of Dhaka Dhaka100 Bangladesh Department of Mechanical Engineering Kuwait University Safat13060 Kuwait

This paper discusses an investigation of the influence of dispersion impact on mixed convection flow over a horizontal cone within a non-Darcy porous medium subjected to convective boundary conditions. By imposing appropriate similarity transformations, the nonlinear partial differential equations governing flow, temperature, concentration, and microbe fields are reduced to a system of ordinary differential equations, which are then solved using the MATLAB BVP4C function. In a few circumstances, the research is brought to a strong conclusion by comparing the findings of the current study to previously published works. Mixed convection parameter λ, buoyancy parameters N1, N2, Lewis parameter Le, bioconvection lewis parameter Lb, Bioconvection peclet number Pe, Biot number Bi , Biot number of Mass transfer Bi, m and also Biot number of motile microorganism transfer Bi, n are all numerically calculated for various values of the dimensionless parameters of the problem. The results also reveal that, in the presence of dispersion effects, these parameters greatly influence the heat, mass, and motile microorganism transfer rates, as well as the corresponding velocity, temperature, concentration, and motile microorganism profiles. © 2021, CC BY.

关键词： Microorganisms

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Computational Mathematics and modeling 2020年第2期31卷 277-291页

作者： Ferdows, M. Nima, Nayema Islam Siddiqua, Farjana Research Group of Fluid Flow Modelling and Simulation Department of Applied Mathematics University of Dhaka Dhaka 1000 Bangladesh Department of Quantitative Sciences International University of Business Agriculture and Technology Dhaka 1230 Bangladesh

The problem of free convective steady boundary layer flows over a solid horizontal flat plate nested in a porous medium filled with a nanofluid containing gyrotactic microorganisms is considered. The exponent of the temperature, the nanoparticle volume fraction and the density of motile microorganisms are introduced to make the quantities dimensionless. The impacts of the considered exponent and bioconvection parameters on the dimensionless temperature, velocity, nanoparticle concentration and density of motile microorganisms along with Nusselt, Sherwood and motile microorganism numbers are tabulated and shown graphically. For a regular fluid and also for the isothermal case, the results are compared with the existing data and excellent compatibility is found. © 2020, Springer Science+Business Media, LLC, part of Springer Nature.

关键词： Convective flow nanofluid porous surface power law fluid similarity

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Convective heat transfer enhancement in a quarter-circular enclosure utilizing nanofluids under the influence of periodic magnetic field

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International Journal of Thermofluids 2022年 16卷

作者： Alam, Md. Shariful Keya, Sajia Sultana Salma, Umme Hossain, S. M. Chapal Billah, Md. Masum Department of Mathematics Jagannath University Dhaka1100 Bangladesh Department of Civil Engineering Dhaka International University Dhaka1212 Bangladesh Department of Applied Mathematics University of Dhaka Dhaka1000 Bangladesh Research Group of Fluid Flow Modeling and Simulation Department of Applied Mathematics University of Dhaka Dhaka1000 Bangladesh Department of Arts and Sciences Ahsanullah University of Science and Technology Dhaka1208 Bangladesh

A coupled one-component mathematical model is applied to analyze the transient natural convective hydro-thermal incidents of different nanofluids occupied with a quarter circular vicinity. A sinusoidal magnetic arena is preferred in the transverse direction to examine the magnetization phenomena. The circular arc of the geometry domain is cold and the lowest wall is heated whereas the vertical wall of the arena is kept thermally insulated. During numerical computation, herein considered Water (H2O), Kerosene (Ke), Engine Oil (EO) as base fluids and Copper (Cu), Cobalt (Co), and Iron Oxide (Fe3O4) as nanoparticles. The dimensionless transports equations are solved numerically by applying the Galerkin weighted residual based finite element method. The outcomes spectacle that heat transfer rate augmented significantly with the increasing values of the Rayleigh number (Ra), nanoparticles volume fraction (), and period of the magnetic field (λ), whereas an intensification in the Hartmann number (Ha) lessens the total heat transfer rate. For nine sorts of nanofluids, the average heat transfer rate is computed along the bottom wall, and found that the heat transfer rate of Co-Kerosene nanofluid is considerably greater than other eight sorts of nanofluids. Finally, it is observed that the Cu-Kerosene nanofluid provides the high heat transfer rate whereas Cu-EO has the low rate of heat transfer for distinct thermal boundary conditions. The numerical results could be useful in assessing heat transfer features of solar collectors, and electronic devices. © 2022

关键词： Finite element method

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Three-dimensional biomagnetic Maxwell fluid flow over a stretching surface in presence of heat source/sink

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International Journal of Biomathematics 2019年第3期12卷 207-226页

作者： M.G.Murtaza M.Ferdows J.C.Misra E.E.Tzirtzilakis Research Group of Fluid Flow Modeling and Simulation Department of Applied Mathematics University of Dhaka Dhaka-1000 Bangladesh Centre for Theoretical Studies Indian Institute of Technology Kharagpur Kharagpur 721302 India Fluid Dynamics & Turbomachinery Laboratory Department of Mechanical Engineering Technological Educational Institute of Western Greece 1 M. Aleksandrou Str Koukouli 26334 Patras Greece

The present paper deals with the study of three-dimensional boundary layer flow of biomagnetic Maxwell fluid over a plane horizontal surface stretched linearly along two mutually perpendicular directions. Basic principles of magnetohydrodynamics (MHD) and ferro-hydrodynamics (FHD) have been employed. The effect of heat generation/absorption has been taken into consideration. The study is theoretical and is conducted by using a combination of approximate and numerical techniques. By using the method of similarity transformation, the governing nonlinear partial differential equations are converted into a set of coupled ordinary differential equations. In the sequel, a suitable numerical method has been developed to solve the coupled differential equations. The accuracy of the numerical method has been checked by comparing the numerical results with those of an earlier study reported in available literatures. Effects of various parameters involved in the study, viz. the magnetohydrodynamic and ferromagnetic parameters, Deborah number, stretching ratio and heat generation on the fluid flow profiles are investigated and the results have been presented graphically. Variations of the skin friction, heat transfer rate and relative wall pressure with change in hydrodynamic and ferromagnetic parameters have also been illustrated. It is found that due to the influence of the Kelvin force, the velocity component in xx-direction is greater than the corresponding one in the hydrodynamic case, but the opposite is true for the velocity component in the yy-direction. We also found that the temperature of the fluid for hydrodynamic flow is greater than that for MHD or FHD flow. It is even greater for BFD flows. The numerical results of the study reveal that the characteristics of blood flow are significantly affected by the presence of a magnetic field.

关键词： Biomagnetic fluid magnetic dipole magnetization heat transfer stretching surface

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Effect of internal heat generation on free convective power-law variable temperature past a vertical plate considering exponential variable viscosity and thermal conductivity

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Journal of the Egyptian Mathematical Society 2019年第1期27卷 1-11页

作者： Ferdows, M. Murtaza, M. G. Shamshuddin, MD. Research Group of Fluid Flow Modeling and Simulation Department of Applied Mathematics University of Dhaka Dhaka Bangladesh Department of Mathematics Comilla University Comilla Bangladesh Department of Mathematics Vaagdevi College of Engineering Warangal India

The aim of this paper is to study the free convection boundary-layer flow with heat generation and variable fluid properties past a vertical plate. We incorporated the heat generation and variable viscosity are the exponential decay form and thermal conductivity is the linear form in the governing equation. Using similarity transformations, the governing coupled non-linear partial differential equations are transformed into a system of coupled non-linear ordinary differential equations and then solved using Maple symbolic software to execute the computations via dsolve. The effects of the temperature-dependent viscosity, the wall velocity power index, the thermal conductivity, the wall temperature parameter, and the Prandtl number on the flow and temperature fields are presented. The skin friction and the wall temperature gradient are also presented for different values of the physical parameters.

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Biomagnetic fluid flow past a stretching/shrinking sheet with slip conditions using lie group analysis

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AIP Conference Proceedings 2019年第1期2121卷

作者： M. G. Murtaza E. E. Tzirtzilakis M. Ferdows Research group of Fluid Flow Modeling and Simulation Department of Applied Mathematics University of Dhaka Dhaka-1000 Bangladesh Fluid Dynamics and Turbomachinery Laboratory Department of Mechanical Engineering Technological Educational Institute of Western Greece 1 M. Aleksandrou Str Koukouli 26334 Patras Greece

The purpose of this paper is to investigate the boundary layer flow and heat transfer of biomagnetic fluid over a stretching/shrinking sheet in the presence of magnetic dipole. We use Lie group transformation to develop similarity transformation. Using this special form of transformation namely Lie group transformation, the governing nonlinear partial differential equations are reduced into a system of couple nonlinear ordinary differential equations subject to associated boundary conditions. The reduced resulting equation are then solved numerically by using MATLAB routine boundary value problem solver bvp4c. The effects of the pertinent parameters such as ferromagnetic parameter, suction parameter, stretching parameter and momentum slip parameter on the flow field and temperature as well as skin friction coefficient and heat transfer rate are presented and discussed through graphically in this study. Results indicate that the dual solutions exits for some specific range of governing parameter. The results of the present study have been compared with those reported by previous results and found a very good agreement that supports the validity of the present analysis and the accuracy of our numerical computations.

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Hall Current and Viscous Dissipation Effects on Boundary Layer flow of Heat Transfer Past a Stretching Sheet

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International Journal of Applied and Computational Mathematics 2017年第4期3卷 3471-3487页

作者： Ferdows, M. Afify, A.A. Tzirtzilakis, E.E. Research Group of Fluid Flow Modeling and Simulation Department of Applied Mathematics University of Dhaka Dhaka 1000 Bangladesh Department of Mathematics Deanship of Educational Services Qassim University P.O. Box 6595 Buraidah 51452 Saudi Arabia Fluid Dynamics and Turbomachinery Laboratory Department of Mechanical Engineering Technological Educational Institute of Western Greece 1 M. AleksandrouStr Koukouli Patras 263 34 Greece

The effect of Hall current and viscous dissipation on MHD natural convective heat transfer flow of a compressible viscous fluid past a stretching surface in the presence of strong magnetic field has been considered in the present work. A magnetic field is applied transversely to the direction of the flow. By means of similarity transformation the governing equations are transformed into nonlinear ordinary flow and heat transfer characteristics which are evaluated by making the use of Nachtsheim–Swigert iteration technique along with the sixth order Runge–Kutta integration scheme. Validation is achieved through the use of Mathematica software as well. The influence of various parameters is then presented graphically in the form of non-dimensional velocity (primary and secondary) and temperature within the boundary layer entering into the problem. Also the effects of the pertinent parameters on the skin-friction coefficients and rate of heat transfer in terms of the Nusselt number, which are of physical interest, are sorted out and presented in the form of table and the conclusion is drawn that the flow field and other quantities of physical interest are significantly influenced by these parameters. © 2017, Springer India Pvt. Ltd.

关键词： Dissipation Hall current Magnetic field and similarity variable Nusselt number

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