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Three-dimensional boundary layer flow and heat/mass transfer through stagnation point flow of hybrid nanofluid

Journal of Engineering and Applied Science 2024年第1期71卷 57页

作者： Ferdows, Mohammad Shamshuddin, M.D. Rashad, Ahmed Mohammed Murtaza, Md Gulum Salawu, Sulyman Olakunle Research Group of Fluid Flow Modeling and Simulation Department of Applied Mathematics University of Dhaka Dhaka1000 Bangladesh SR University Telangana State Warangal506371 India Department of Mathematics Faculty of Science Aswan University Aswan81528 Egypt Department of Mathematics Comilla University Cumilla3506 Bangladesh Department of Mathematics Bowen University Iwo Nigeria

This project covers the investigation of the boundary layer flow of a hybrid nanofluid past a biaxial stretching/shrinking sheet. The hybrid nanofluid consists of copper (Cu) and alumina (Al2O3) nanoparticles, which are diluted into water to form Cu-Al2O3- water hybrid nanofluid. The governing partial differential equations (PDEs) are derived from Navier-Stokes equations. The system of PDEs is reduced to a system of ordinary differential equations using an appropriate similarity transformation. MATLAB’s bvp4c function is used to numerically solve the resulting system of governing ordinary differential equations. The aim of this study is to gain a comprehensive understanding of the intricate behavior displayed by hybrid nanofluids on the stagnant directed flow of extended/shrunk flat surfaces, considering the effects of Brownian motion, thermophoresis, and various nanoparticles. The generated numerical results of flow profiles, skin friction coefficient, and Nusselt number have been presented graphically and discussed in the relevance of the governing parameters contributing to the flow. The outcomes reveal that the velocity components are reduced with increasing Al2O3- water nanofluid volume fraction. A monotonical increase in the parameters stretching/shrinking and suction/injection with a corresponding rise in both nanoparticles volume fraction propels heat gradient rate. An increase in the Schmidt numbers encourages a mass transfer field due to an enhanced boundary viscosity. The validation of numerical results is done with previously published results. Through our results, we have found that the performance of a hybrid nanofluid is more significant than other fluids. In addition, this study enhances the progress of theoretical comprehension by endeavoring to resolve the intricate interplay between fluid dynamics and thermal characteristics through the utilization of numerical approaches. © The Author(s) 2024.

关键词： Nanoparticles

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Magnetohydrodynamic flow and Hall current effects on a boundary layer flow and heat transfer over a three-dimensional stretching surface

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International Journal of Ambient Energy 2023年第1期44卷 938-946页

作者： Ferdows, M. Ramesh, G.K. Madhukesh, J.K. Research Group of Fluid Flow Modelling and Simulation Department of Applied Mathematics University of Dhaka Dhaka Bangladesh Department of Mathematics K.L.E. Society’s J.T. College Gadag India Department of Mathematics Davangere University Davangere India

The current investigation is being carried out to investigate the impacts of magnetohydrodynamic flow and hall current effects on boundary layer flow across a three-dimensional stretching surface. The governing equations are framed with reasonable assumptions, and appropriate similarity transformations are applied to convert a set of partial differential equations into ordinary differential equations. To solve the reduced equations, the Runge Kutta Fehlberg 4th 5th order technique is utilised. The results reveal that primary and secondary velocity improves with the velocity parameter and Eckert number decrease for the magnetic parameter. The improvement in the Grashof number will improve the primary velocity but a reverse trend is seen in the case of secondary velocity. The thermal profile improves with the magnetic parameter, the velocity parameter, and the Eckert number, but it degrades with the Grashof number. The rate of heat transmission increases with the magnetic parameter and the Eckert number, whereas it decreases with the remaining factors. © 2023 Informa UK Limited, trading as Taylor & Francis group.

关键词： Magnetohydrodynamics

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Assisting and opposing mixed convective flow over a solid sphere at its bottom stagnation point with a constant surface heat, mass and motile microorganism flux

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International Journal of Ambient Energy 2024年第1期45卷

作者： Nima, Nayema Islam Ferdows, Mohammad Department of Physical Sciences Independent University Dhaka Bangladesh Research group of Fluid Flow Modelling and Simulation Department of Applied Mathematics University of Dhaka Dhaka Bangladesh

This study examined the laminar mixed convective flow around the lower point of stagnation for a solid sphere with a steady flux of gyrotactic microbial motility, mass and temperature. Biological convection phenomena have been considered in this study due to their intermixing traits and capacity in order to enhance mass transit in numerous biotechnology and biological systems. The first objective of this study is to examine and establish the mathematical formulation comprising partial differential equations for energy, momentum, mass conservation and mobile microorganism conservation balances. To do numerical calculations, the controlling partial differential equations are initially transformed by similarity transformations into a collection of interconnected non-linear ordinary differential equations. These equations are then solved by using the MATLAB Bvp4c scheme. The results indicate that several controlling parameters, particularly bioconvection parameters such as the Lewis number ((Formula presented.)), Bioconvection Lewis parameter ((Formula presented.)) and Bioconvection Peclet number ((Formula presented.)), have significant effects on flow transfer rates. A dual solution is observed in a certain region of mixed convection (Formula presented.), where the mixed convection parameter is within the range of 0.41–0.65. The findings reveal significant results from dual solution analysis, highlighting the occurrence of unstable and stable phenomena for specific values of bioconvection parameters exclusively in the case of opposing flow. The assisting flow demonstrates only a single solution that is physically stable and unique. Observing lower stagnation point flow is essential for predicting and analysing complex fluid–microorganism interactions in various scientific and engineering applications such as designing spherical-shaped microbial fuel cell. Optimising flow conditions can enhance the efficiency of processes like wastewater treatment, where microorganisms

关键词： Mixed convection

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Computer simulation based analysis of transient two-phase thermal evolutions during multiprobe cryosurgery of hepatic tissues embedded without or with blood vessels

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International Journal of Thermofluids 2024年 21卷

作者： Hossain, Sorowar Hossain, S. M. Chapal Ferdows, Mohammad Bangalee, Md. Zavid Iqbal Alam, Md. Shariful 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 Mathematics Jagannath University Dhaka1100 Bangladesh

Cryosurgery is demarcated as cell annihilation by freezing temperature yielded through a cryogenic probe. Thermal distributions nearby the adjacent blood vessels can impede the iceball evolution and surgery success. Hence it is indispensable to predict the dynamic temperature and iceball propagations in biological tissues and its implications earlier through simulation methods. In this study, a transient two-phase flow and heat transfer model is presented to envisage the thermal extents inside and outside cryoprobes. The bioheat transfer model is adopted to inspect the temperature evolutions during multiprobe cryosurgery of hepatic tissues embedded without or with blood vessels. During computer simulation, a 3D geometry model is introduced as the living tissue vicinities embedded with two simplified hepatic arteries when multiple cryogenic probes are injected into the tissues with uniform insertion depth system. The tissues are pondered as non-ideal materials in which phase transition occurs over a temperature range, and the effects of blood perfusion and metabolic heat generation in the tissues are also considered. Computational analyses are then carried out to scrutiny the impact of the blood vessels on the temperature developments of tissues. The results show that when blood vessels are treated as a heat source during treatment, oscillatory thermal outlines are found along the anticipated pathways during multiprobe cryosurgery, and the relative maximum temperature increased upto ∼98 % at the midpoint of the route BB′ for the ablation time of 100 s. The irregular ice fronts are also obtained with the manifestation of blood vessels compared with no blood vessel case, and the iceball volume enclosed by the − 40°C isothermal front decreased significantly from 22.94 cm3 (without blood vessels) to 6.92 cm3 (with blood vessels) for the ablation time of 300 s. The simulation outcomes indicate that multiprobe cryosurgery is more effective to destroy the tumor tissue prope

关键词： Blood vessels

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Heat and Mass Transfer During MHD flow of a Nanofluid Containing Gyrotactic Microorganisms on a Stretching/Shrinking Sheet

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Multiscale Science and Engineering 2022年第1期4卷 55-65页

作者： Ferdows, M. Misra, J. C. Research Group of Fluid Flow Modeling and Simulation Department of Applied Mathematics University of Dhaka Dhaka Bangladesh Centre for Theoretical Studies Indian Institute of Technology Kharagpur India

This paper deals with a study on the magnetohydrodynamic boundary layer flow and transfer of heat and mass of a viscous nanofluid comprising gyrotactic microorganisms. The flow is supposed to take place on a sheet, which stretches or shrinks asymmetrically in its own plane, where the line of symmetry of the stagnation motion and that of the stretching/shirking surface are in general not aligned. The governing non-linear partial differential equations and auxiliary conditions are transformed to a set of non-linear ODEs with the suitable boundary conditions by using similarity transformation. The resulting equations are solved numerically employing spectral relaxation method (SRM) through the use of MATLAB. We take some initial guesses, which satisfy the boundary condition for the iterative spectral relaxation technique. The influences of assorted parameters such as velocity ratio parameter α, source/sink parameter Q, Prandtl number Pr, magnetic field parameter M, Peclet number Pe, Lewis number Le, Bioconvection Lewis number Lb, Brownian motion parameter Nb, thermophoresis parameter Nt, Eckert number Ec, local Eckert numbers (Ecx and Ecy) and bioconvection constant σ are investigated. Transfer of mass and heat and the impact of microorganisms present in the fluid are explored through graphs and tables and the results are discussed in details. Variation in the skin-friction, heat transfer rate and the density number of the motile microorganism is also investigated. Residual error analysis is also performed for establishing the convergence rate against iteration. The study reveals that the velocity enhances, but the temperature reduces with rise in the strength of the magnetic field, while the thickness of the motile microorganisms is reduced as the Peclet number increases.

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Computation of heat transfer in magnetised Blasius flow of nano-fluids with suspended carbon nanotubes through a moving flat plate

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International Journal of Ambient Energy 2022年第1期43卷 7657-7665页

作者： Ferdows, M. Shamshuddin, M.D. Salawu, S.O. Reza, Motahar Research group of fluid flow modeling and simulation. Department of Applied Mathematics University of Dhaka Dhaka Bangladesh Telangana Warangal India Department of Physical Science Mathematics Programme College of Pure and Applied Sciences Landmark University Kwara State Omu-aran Nigeria Department of Mathematics GITAM School of Science GITAM Deemed to be University Hyderabad Campus Telangana Hyderabad India

This paper examines a two-dimensional steady, incompressible and laminar hydro-magnetic flow along with the transfer of heat above a plane plate that contains water and ethylene glycol-based nano-fluids with multi- and single-wall CNTs. The plate surface is subjected to variable wall temperatures. The transfer of heat has been contemplated in suspended CNTs above a plane plate. Navier–Stokes and the concept of the Prandtl boundary layer have been used to determine the governing equations of heat transfer and flow. Since the attained governing equations representing energy and flow are non-linear PDEs, they are altered into non-linear ODEs accompanied by analogous boundary conditions by applying several appropriate similarity transformations. Hence, the ‘bvp4c’ function is used to solve them numerically. Various graphs with physical interpretation demonstrate the consequence of determining terms on the characteristics of the flow. The plate velocity parameter and volume fraction have a positive effect. Temperatures are elevated markedly for most of the governing parameters. The rate of heat transfer and temperature exponent are enhanced by a magnetic field. SWCNTs give more substantial heat transfer than MWCNTs. © 2022 Informa UK Limited, trading as Taylor & Francis group.

关键词： Nanoparticles

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flow and heat transfer of a nanofluid through a porous medium due to stretching/shrinking sheet with suction,magnetic field and thermal radiation

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Applied Mathematics(A Journal of Chinese Universities) 2023年第3期38卷 373-391页

作者： Ubaidullah Yashkun Khairy Zaimi Suliadi Firdaus Sufahani Mohamed REid Mohammad Ferdows Centre of Excellence for Social Innovation and Sustainability Institute of EngineeringUniversiti Malaysia PerlisPauh Putra Campus02600ArauPerlisMalaysia Department of Mathematics Sukkur IBA UniversityAirport RoadSukkur65200SindhPakistan Department of Mathematics and Statistics Faculty of Applied Sciences and TechnologyUniversiti Tun Hussein Onn MalaysiaJohorMalaysia Department of Mathematics Faculty of ScienceNew Valley UniversityAl-Wadi Al-GadidAl-Kharga 72511Egypt Mathematics Department Faculty of ScienceNorthern Border UniversityArar 1321Saudi Arabia Research Group of Fluid Flow Modeling and Simulation Department of Applied MathematicsUniversity of DhakaDhaka-1000Bangladesh

This study investigates the suction and magnetic field effects on the two-dimensional nanofluid flow through a stretching/shrinking sheet at the stagnation point in the porous medium with thermal *** governing partial differential equations(PDEs)are converted into ordinary differential equations(ODEs)using the similarity *** resulting ODEs are then solved numerically by using the bvp4c solver in MATLAB *** was found that dual solutions exist for the shrinking parameter values up to a certain *** numerical results obtained are compared,and the comparison showed a good agreement with the existing results in the *** governing parameters’effect on the velocity,temperature and nanoparticle fraction fields as well as the skin friction coefficient,the local Nusselt number and the Sherwood number are represented graphically and *** variation of the velocity,temperature and concentration increase with the increase in the suction and magnetic field *** seems that the thermal radiation effect has increased the local Sherwood number while the local Nusselt number is reduced with it.

关键词： stagnation point flow nanofluid porous medium suction magnetohydrodynamic thermal radiation

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Two-phase bio-nanofluid flow through a bifurcated artery with magnetic field interaction

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International Journal of Thermofluids 2022年 15卷

作者： Hossain, S. M. Chapal Ferdows, Mohammad Bangalee, Md. Zavid Iqbal Alam, Md. Shariful Department of Applied Mathematics University of Dhaka Dhaka 1000 Bangladesh Research Group of Fluid Flow Modeling and Simulation Department of Applied Mathematics University of Dhaka Dhaka 1000 Bangladesh Department of Mathematics Jagannath University Dhaka 1100 Bangladesh

A modified multiphase flow model is applied for a better understanding of bio-nanofluid (blood containing 4% (w/v) Fe3O4 nanoparticles) flow regimes through a real bifurcated artery. The magnetic field with distinct current intensities (I = 0 – 300 A) was employed to induce the flow features when the wire's source is placed nearby the junction of the asymmetrical branched artery during numerical computation. The finite volume method was used to solve the coupled hemodynamics model. Results show that the pressure, and vorticity profiles increased and fallen gradually with the existence of the magnetic source and further obtained the maximum pressure for the strong current intensity (I = 300 A). The fluctuating vorticity distributions are found along the inner and outer vessel wall as well as the predicted lines created within the simulated domain for the increase of current intensity. The velocity outlines variates steadily, and the local peak velocities are obtained with the increase of the magnetic force. With the increment of the current intensity upto I = 300 A, the flow rate rises progressively for the asymmetric branched vessel, and the opposite scenario is found for the root vessel. The temperature profiles decrease steadily with the increment of the applied current intensity. With the manifestation of the magnetic source, the irregular flow behaviours are found within the asymmetrical bifurcated artery. This modeling investigation could be beneficial for the emergent therapy plan of ample vascular diseases as the magnetic drug targeting system. © 2022

关键词： Finite volume method

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Biomathematical model for gyrotactic free-forced bioconvection with oxygen diffusion in near-wall transport within a porous medium fuel cell

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International Journal of Biomathematics 2020年第4期13卷 141-165页

作者： Nayema Islam Nima M.Ferdows O.Anwar Beg S.Kuharatt Faris Alzahranit Research Group of Fluid Flow Modeling and Simulation Department of Applied Mathematics University of Dhaka Dhaka-100Bangladesh Multi-Physical Engineering Sciences Group Aeronautical/Mechanical Engineering School of Science Engineering and Environment(SEE)University of SalfordManchesterUK

Bioconvection has shown significant promise for environmentally friendly,sustainable“green”fuel cell *** improved design of such systems requires continuous refinements in biomatheatical modeling in conjunction with laboratory and *** by exploring deeper the near-wall transport phenomena involved inbio-inspired fuel cells,in the present paper,we examine analytically and numericallythe combined free-forced convective steady boundary layer flow from a solid verticalflat plate embedded in a Darcian porous medium containing gyrotactic *** is one of the many taxes exhibited in biological microscale transport,andother examples include magneto-taxis,photo-taxis,chemotaxis and geo-taxis (reflecting the response of microorganisms to magnetic field,light,chemical concentration orgravity,respectively). The bioconvection fuel cell also contains difusing oxygen specicswhich mimics the cathodic behavior in a proton exchange membrane(PEM) *** wall is maintained at isosolutal (constant oxygen volume fraction and motilemicroorganism density) and iso-thermal conditions. Wall values of these quantities aresustained at higher values than the ambient temperature and concentration of oxygenand biological microorganism *** transformations are applied to renderthe governing partial differential equations for mass,momentum,energy,oxygen speciesand microorganism species density into a system of ordinary differential equations. Theemerging eight order nonlinear coupled,ordinary differential boundary value problemfeatures several important dimensionless control parameters,namely Lewis number(Le),buoyancy ratio paraneter i.e. ratio of oxygen species buoyancy force to thermal buoy-ancy force(Nr), bioconvection Rayleigh number(Rb), bioconvection Lewis number(Lb),bioconvection Peclet number(Pe) and the mixed convection parameter(e) spanning theentire range of free and forced convection. The transformed nonlinear sys

关键词： Bioconvection gyrotactic microorganisms oxygen diffusion buoyancy Lewis number boundary layers fuel cells numerical solution Nusselt nurnber Sherwood number

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Two-Phase Bio-Nanofluid flow Through a Bifurcated Artery with Magnetic Field Interaction

SSRN

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SSRN 2022年

作者： Hossain, S.M.C. Ferdows, M. Bangalee, M.Z.I. Alam, M.S. 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 Mathematics Jagannath University Dhaka1100 Bangladesh

A modified multiphase flow model is applied for a better understanding of bio-nanofluid (blood containing 4% (w/v) Fe3O4 nanoparticles) flow characteristics through a realistic bifurcated artery. The magnetic field with distinct current intensities was employed to induce the flow regime when the wire’s source is placed nearby the junction of the asymmetrical branched artery during numerical computation. The finite volume method was used to solve the coupled hemodynamics model. Results show that the pressure, and vorticity profiles increased and fallen gradually with the existence of the magnetic source and further obtained the maximum pressure for the strong current intensity (I = 300 A). The fluctuating vorticity distributions are found along the inner and outer vessel wall as well as the predicted lines created within the simulated domain for the increase of current intensity. The velocity profiles variates gradually and the local peak velocities are obtained with the increase of the magnetic force. With the increment of the current intensity upto I = 300 A, the flow rate rises progressively for the asymmetric branched vessel, and the reverse scenario is found for the root vessel. The temperature profiles decrease steadily with the increment of the applied current intensity. With the manifestation of the magnetic source, the irregular flow behaviours are found within the asymmetrical bifurcated artery. This modeling investigation could be beneficial for the emergent therapy plan of ample vascular diseases as the magnetic drug targeting system. © 2022, The Authors. All rights reserved.

关键词： Finite volume method

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