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MHD Maxwell Fluid with Heat Transfer Analysis under Ramp Velocity and Ramp Temperature Subject to Non-Integer Differentiable Operators

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Computer Modeling in Engineering & Sciences 2021年第2期126卷 821-841页

作者： Thabet Abdeljawad Muhammad Bilal Riaz syed tauseef saeed Nazish Iftikhar Department of Mathematics and General Sciences Prince Sultan UniversityRiyadh12435Saudi Arabia Department of Medical Research China Medical UniversityTaichung404Taiwan Department of Computer Science and Information Engineering Asia UniversityTaichung41354Taiwan Department of Mathematics University of Management and TechnologyLahore54770Pakistan Institute for Groundwater Studies(IGS) University of the Free StateBloemfontein9301South Africa Department of Science&Humanities National University of Computer and Emerging SciencesLahore54000Pakistan

The main focus of this study is to investigate the impact of heat generation/absorption with ramp velocity and ramp temperature on magnetohydrodynamic(MHD)time-dependent Maxwell fluid over an unbounded plate embedded in a permeable ***-dimensional parameters along with Laplace transformation and inversion algorithms are used to find the solution of shear stress,energy,and velocity ***,new fractional differential operators are used to define ramped temperature and ramped *** obtained analytical solutions are plotted for different values of emerging *** time derivatives are used to analyze the impact of fractional parameters(memory effect)on the dynamics of the *** making a comparison,it is observed that the fractional-order model is best to explain the memory effect as compared to classical *** results suggest that the velocity profile decrease by increasing the effective Prandtl *** existence of an effective Prandtl number may reflect the control of the thickness of momentum and enlargement of thermal *** incremental value of the M is observed for a decrease in the velocity field,which reflects to control resistive ***,it is noted that the Atangana-Baleanu derivative in Caputo sense(ABC)is the best to highlight the dynamics of the *** influence of pertinent parameters is analyzed graphically for velocity and energy *** for skin friction and Nusselt number are also derived for fractional differential operators.

关键词： MHD Maxwell fluid fractional differential operator heat generation absorption thermal effect non-singular kernels

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Dynamical Analysis of Radiation and Heat Transfer on MHD Second Grade Fluid

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Computer Modeling in Engineering & Sciences 2021年第11期129卷 689-703页

作者： Aziz-Ur-Rehman Muhammad Bilal Riaz syed tauseef saeed Shaowen Yao Department of Mathematics University of Management and TechnologyLahore54770Pakistan Institute for Groundwater Studies(IGS) University of the Free StateBloemfontein9301South Africa Department of Science&Humanities National University of Computer and Emerging SciencesLahore54000Pakistan School of Mathematics and Information Science Henan Polytechnic UniversityJiaozuo454000China

Convective flow is a self-sustained flow with the effect of the temperature *** density is non-uniform due to the variation of *** effect of the magnetic flux plays a major role in convective *** process of heat transfer is accompanied by a mass transfer process;for instance,condensation,evaporation,and chemical *** to the applications of the heat and mass transfer combined effects in a different field,the main aim of this paper is to do a comprehensive analysis of heat and mass transfer of MHD unsteady second-grade fluid in the presence of ramped boundary conditions near a porous *** dynamical analysis of heat transfer is based on classical differentiation with no memory *** non-dimensional form of the governing equations of the model is *** are solved by the classical integral(Laplace)transform technique/method with the convolution theorem and closed-form solutions are attained for temperature,concentration,and *** physical aspects of distinct parameters are discussed via graph to see the influence on the fluid concentration,velocity,and *** results suggest that the velocity profile decrease by increasing the Prandtl *** existence of a Prandtl number may reflect the control of the thickness of momentum and enlargement of thermal ***,to validate our results,some results are recovered from the literature.

关键词： Heat transfer magnetic effect ramped conditions porous medium Laplace transform thermal radiation

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Analysis of travelling wave solutions of double dispersive sharma-Tasso-Olver equation

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Journal of Ocean Engineering and Science 2024年第5期9卷 461-474页

作者： Kamruzzaman Khan Henk Koppelaar M.Ali Akbar syed tauseef Mohyud-Din Department of Mathematics Pabna University of Science and TechnologyPabna 6600Bangladesh Fac.of Electrical Eng. Mathematics and Comp.ScienceUniversity of DelftNetherlands Department of Applied Mathematics University of RajshahiRajshahi 6205Bangladesh Department of Mathematics HITEC University Taxila CanttPakistan School of Science and Technology University of New EnglandArmidaleNSW 2351Australia

Travelling wave solutions have been played a vital role in demonstrating the wave character of nonlinear problems arising in the field of ocean engineering and *** describe the propagation of the nonlinear wave phenomenon in the ocean(for example,wind waves,tsunami waves),a variety of evolution equations have been suggested and investigated in the existing *** paper studies the dynamic of travelling periodic and solitary wave behavior of a double-dispersive non-linear evolution equation,named the Sharma-Tasso-Olver(STO)*** evolution equations with double dispersion enable us to describe nonlinear wave propagation in the ocean,hyperplastic rods and other mediums in the field of science and *** analyze the wave solutions of this model using a combination of numerical simulations and Ansatz *** analysis shows that the travelling wave solutions involve a range of parameters that displays important and very interesting properties of the wave *** relevance of the parameters in the travelling wave solutions is also *** simulating numerically,we demonstrate how parameters in the solutions influence the phase speed as well as the travelling and solitary ***,we discuss instantaneous streamline patterns among the obtained solutions to explore the local direction of the components of the obtained solitary wave solutions at each point in the coordinate(x,t).

关键词： Travelling wave Solitary wave Streamline Enhanced(G'/G)-expansion method STO equation

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Numerical Solution of the Three-Dimensional Helmholtz Equation

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Chinese Physics Letters 2010年第6期27卷 1-4页

作者： syed tauseef Mohyud-Din Ahmet Ylldlrim Department of Basic Sciences HITEC University Taxila Cantt Pakistan Department of Mathematics Ege University 35100 Bornova-izmir Turkey

We apply the homotopy analysis method to solve the nonhomogeneous multidimensional partial differential equation model problem. The analytic solutions are calculated in terms of convergent series with easily computable components. The nonhomogeneous problem is quickly solved by observing the self-canceling ＂noise＂ terms whose sum vanishes in the limit. Numerical results clearly reveal the complete reliability and efficiency of the proposed algorithm.

关键词： Computers Solution Helmholtz Equation

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Analytical Approach to Space- and *** Burgers Equations

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Chinese Physics Letters 2010年第9期27卷 38-41页

作者： Ahmet Yildirim syed tauseef Mohyud-Din Department of Mathematics Ege University 35100 Bornova-Izmir Turkey HITEC University Taxila Cantt Pakistan

A scheme is developed to study numerical solution of the space- and time-fractional Burgers equations under initial conditions by the homotopy analysis method. The fractional derivatives are considered in the Caputo sense. The solutions are given in the form of series with easily computable terms. Numerical solutions are calculated for the fractional Burgers equation to show the nature of solution as the fractional derivative parameter is changed.

关键词： Solutions Solutes Fractionation Computers

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Poincaré-MacMillan Equations of Motion for a Nonlinear Nonholonomic Dynamical System

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Chinese Physics Letters 2012年第3期29卷 132-134页

作者： Amjad Hussain syed tauseef Mohyud-Din Ahmet Yildirim Department of Mathematics Zhejiang UniversityHangzhou 310027 Department of Mathematics HITEC UniversityTaxila Cantt Pakistan Department of Mathematics Ege University35100 Bornova IzmirTurkey University of South Florida Department of Mathematics and StatisticsTampaFL 33620-5700USA

MacMillan's equations are extended to Poincaré's formalism,and MacMillan's equations for nonlinear nonholonomic systems are obtained in terms of Poincaré*** equivalence of the results obtained here with other forms ... 详细信息

关键词： Poincaré parameters MacMillan

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Analytical and Numerical Approaches to Squeezing Flow and Heat Transfer between Two Parallel Disks with Velocity Slip and Temperature Jump

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Chinese Physics Letters 2012年第11期29卷 152-156页

作者： Amjad Hussain syed tauseef Mohyud-Din Taqi Ahmed Cheema Department of Mathematics Zhejiang UniversityHangzhou 310027 Department of Mathematics HITEC UniversityTaxila CantPakistan School of Mechanical Engineering Kyungpook National University1370 Sankyuk-dongBuk-guDeagu702-701Korea

Analytic and numerical techniques are presented to analyze the influence of temperature and wall slip conditions on the unsteady flow and heat transfer via viscous fluid squeezed between two parallel disks in the presence of an applied magnetic *** governing partial differential equations for momentum and heat transfer are reduced to a system of coupled nonlinear ordinary differential equations using similarity *** homotopy analysis method(HAM)is then utilized to find explicit series solution of the resulting *** convergence of the obtained solution is carefully *** check the reliability of the method the same problem is also solved by using the shooting method and an excellent agreement is observed between the two sets of *** of various parameters of practical importance on the velocity and temperature profiles is studied and portrayed *** of skin friction coefficient and local Nusselt number are tabulated by assigning different values to various emerging parameters.

关键词： field ordinary unsteady

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Solution to the MHD flow over a non-linear stretching sheet by homotopy perturbation method

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Science China(Physics,Mechanics & Astronomy) 2011年第2期54卷 342-345页

作者： RAFTARI Behrouz MOHYUD-DIN syed tauseef YILDIRIM Ahmet Department of Mathematics Islamic Azad UniversityKermanshah branch Taxila Cantt HITEC University Department of Mathematics Ege University

In this study,by means of homotopy perturbation method(HPM) an approximate solution of the magnetohydrodynamic(MHD) boundary layer flow is *** main feature of the HPM is that it deforms a difficult problem into a set of problems which are easier to *** produces analytical expressions for the solution to nonlinear differential *** obtained analytic solution is in the form of an infinite power *** this work,the analytical solution obtained by using only two terms from HPM *** with the exact solution and the solution obtained by the Pade approximants and shooting method show the high accuracy,simplicity and efficiency of this method.

关键词： boundary layer flow magnetohydrodynamics flow(MHD) nonlinear differential equations homotopy perturbation method

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Investigating biological population model using exp-function method

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International Journal of Biomathematics 2016年第2期9卷 159-173页

作者： Qazi Mahmood Ul Hassan syed tauseef Mohyud-Din Department of Mathematics Faculty of Sciences HITEC University Taxila 47080 Pakistan

This paper is the spectator of the arrangement of an efficient transformation and exfunction technique to build up generalized exact solutions of the biological population model equation. Computational work and subsequent numerical results re-identify the effectiveness of proposed algorithm. It is pragmatic that recommended plan is greatly consistent and may be comprehensive to other nonlinear differential equations of fractional order.

关键词： Biological population model fractional calculus exp-function method.

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On analytical solution of system of nonlinear fractional boundary value problems associated with obstacle

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Journal of Ocean Engineering and Science 2018年第1期3卷 49-55页

作者： Asif Waheed syed tauseef Mohyud-Din Iqra Naz Department of Mathematics COMSATS Institute of Information TechnologyAttockPakistan Center for Research(CFR) University of Islamabad(UoI)IslamabadPakistan

In this paper,we use the modified variation of parameters method(MVPM),an elegant coupling of variation of parameters method(VPM)and Adomian’s decomposition method(ADM),for finding the analytical solution of system of nonlinear fractional boundary value problems associated with *** sense of fractional derivative is used to coup up with fractional *** results are calculated in terms of series with easily computable *** used technique is quite easy and convenient for such type problems because it has been previously applied over several nonlinear obstacle systems.

关键词： Modified variation of parameters method Caputo sense of fractional derivative System of nonlinear fractional boundary value problems

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