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Communications in Theoretical Physics 2019年第9期71卷 1075-1083页

作者： m.Awais S.Bilal m.Y.malik Khalil-ur-Rehman Department of mathematics AIR UniversitySector E-9Air ComplexIslamabad44000Pakistan Department of mathematics College of SciencesKing Khalid UniversityAbha61413Saudi Arabia Department of mathematics Quaid-i-Azam UniversityIslamabad44000Pakistan

Current exertion is made to depict and search out the flow features imparted to viscid fluid flow over a rotational disk. Impression of magnetic field with rotating fluid is generated by interacting it in radial *** structured particles with magnetized fluid are also incorporated in the upshot of chemical reaction and absorptive/generative heat induction. Von Kumaran procedure is executed to obtain flow narrating differential *** pattern regarding thermal, momentum profiles are comprehended with the support of shooting method and RungeKutta methods. Furthermore, to get more realistic view of result description computational algorithm is modified by improving Runge-Kutta coefficients with Cash and Carp method. The aspects of flow controlling parameters like momentum slip parameter, magnetic strength parameter, Brownian motion parameter, thermophoresis parameter are adorned in sketches. Findings of these architects are accumulated in conclusion section.

关键词： heat generation/absorption viscous fluid model nanoparticles rotating disk Navier slip Cash and Carp method

Thermal analysis in swirl motion of maxwell nanofluid over a rotating circular cylinder

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Applied mathematics and mechanics(English Edition) 2020年第9期41卷 1417-1430页

作者： A.AHmED m.KHAN J.AHmED Department of mathematics Quaid-i-Azam UniversityIslamabad 44000Pakistan Department of Basic Sciences University of Engineering and TechnologyTaxila 47050Pakistan

In this paper,the mechanism of thermal energy transport in swirling flow of the maxwell nanofluid induced by a stretchable rotating cylinder is *** rotation of the cylinder is kept constant in order to avoid the induced axially secondary ***,the novel features of heat generation/absorption,thermal radiation,and Joule heating are studied to control the rate of heat *** effects of Brownian and thermophoretic forces exerted by the maxwell nanofluid to the transport of thermal energy are investigated by utilizing an effective model for the nanofluid proposed by *** whole physical problem of fluid flow and thermal energy transport is modelled in the form of partial differential equations(PDEs)and transformed into nonlinear ordinary differential equations(ODEs)with the help of the suitable flow *** acquired results through the technique bvp4c are reported graphically with physical *** analysis reveals that there is higher transport of heat energy in the maxwell nanoliquid for a constant wall temperature(CWT)as compared with the prescribed surface temperature(PST).Both thermophoretic and Brownian forces enhance the thermal energy transport in the flowing maxwell ***,the temperature distribution increases with increasing values of the radiation parameter and the Eckert *** is also noted that an increase in Reynolds number reduces the penetration depth,and as a result the flow and transport of energy occur only near the surface of the cylinder.

关键词： maxwell nanofluid rotating cylinder heat source/sink Joule heating convective condition numerical solution

Transient flow of magnetized maxwell nanofluid: Buongiorno model perspective of Cattaneo-Christov theory

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Applied mathematics and mechanics(English Edition) 2020年第4期41卷 655-666页

作者： m.KHAN A.AHmED J.AHmED Department of mathematics Quaid-i-Azam UniversityIslamabad 44000Pakistan Department of Basic Sciences University of Engineering and TechnologyTaxila 47050Pakistan

The present research article is devoted to studying the characteristics of Cattaneo-Christov heat and mass fluxes in the maxwell nanofluid flow caused by a stretching sheet with the magnetic field *** maxwell nanofluid is investigated with the impact of the Lorentz force to examine the consequence of a magnetic field on the flow characteristics and the transport of *** heat and mass transport mechanisms in the current physical model are analyzed with the modified versions of Fourier’s and Fick’s laws,***,the well-known Buongiorno model for the nanofluids is first introduced together with the Cattaneo-Christov heat and mass fluxes during the transient motion of the maxwell *** governing partial differential equations(PDEs)for the flow and energy transport phenomena are obtained by using the maxwell model and the Cattaneo-Christov theory in addition to the laws of *** transformations are used to convert the PDEs into a system of nonlinear ordinary differential equations(ODEs).The homotopic solution methodology is applied to the nonlinear differential system for an analytic *** results for the time relaxation parameter in the flow,thermal energy,and mass transport equations are discussed *** is noted that higher values of the thermal and solutal relaxation time parameters in the Cattaneo-Christov heat and mass fluxes decline the thermal and concentration fields of the ***,larger values of the thermophoretic force enhance the heat and mass transport in the ***,the Brownian motion of the nanoparticles declines the concentration field and increases the temperature *** validation of the results is assured with the help of numerical tabular data for the surface velocity gradient.

关键词： transient flow Cattaneo-Christov theory maxwell nanofluid Buongiorno model homotopy analysis method (HAm) solution

Boundary layer flow of maxwell fluid due to torsional motion of cylinder: modeling and simulation

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Applied mathematics and mechanics(English Edition) 2020年第4期41卷 667-680页

作者： m.KHAN A.AHmED J.AHmED Department of mathematics Quaid-i-Azam UniversityIslamabad 44000Pakistan Department of Basic Sciences University of Engineering and TechnologyTaxila 47050Pakistan

This paper investigates the boundary layer flow of the maxwell fluid around a stretchable horizontal rotating cylinder under the influence of a transverse magnetic *** constitutive flow equations for the current physical problem are modeled and analyzed for the first time in the *** torsional motion of the cylinder is considered with the constant azimuthal velocity *** partial differential equations(PDEs)governing the torsional motion of the maxwell fluid together with energy transport are simplified with the boundary layer *** current analysis is valid only for a certain range of the positive Reynolds ***,for very large Reynolds numbers,the flow becomes ***,the governing similarity equations are simplified through suitable transformations for the analysis of the large Reynolds *** numerical simulations for the flow,heat,and mass transport phenomena are carried out in view of the bvp4c scheme in *** outcomes reveal that the velocity decays exponentially faster and reduces for higher values of the Reynolds numbers and the flow penetrates shallower into the free stream *** is also noted that the phenomenon of stress relaxation,described by the Deborah number,causes to decline the flow fields and enhance the thermal and solutal energy transport during the fluid *** penetration depth decreases for the transport of heat and mass in the fluid with the higher Reynolds *** excellent validation of the numerical results is assured through tabular data with the existing literature.

关键词： torsional motion maxwell fluid magnetic field stretchable rotating cylinder bvp4c scheme

Oscillatory Couette flow of rotating Sisko fluid

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Applied mathematics and mechanics(English Edition) 2014年第10期35卷 1301-1310页

作者： T.HAYAT S.ABELmAN m.HAmESE Department of mathematics Quaid-i-Azam University Department of mathematics Faculty of Science King Abdulaziz University Centre for Differential Equations Continuum Mechanics and Applications School of Computational and Applied Mathematics University of the Witwatersrand

The oscillatory Couette flow of a magnetohydrodynamic （mHD） Sisko fluid between two infinite non-conducting parallel plates is explored in a rotating frame. The lower plate is fixed, and the upper plate is oscillating in its own plane. Using mATLAB, a numerical solution to the resulting nonlinear system is presented. The influence of the physical parameters on the velocity components is analyzed. It is found that the effect of rotation on the primary velocity is more significant than that on the secondary velocity. Further, the oscillatory character in the flow is also induced by rotation. The considered flow situation behaves inertialess when the Reynolds number is small.

关键词： Couette flow Sisko fluid numerical solution oscillatory flow

Convective Heat and mass Transfer in magneto Jeffrey Fluid Flow on a Rotating Cone with Heat Source and Chemical Reaction

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Communications in Theoretical Physics 2018年第11期69卷 534-540页

作者： S.Saleem m.m.Al-Qarni S.Nadeem N.Sandeep Department of mathematics College of Sciences King Khalid University Department of mathematics Quaid-e-Azam University Department of mathematics Central University of Karnataka

The present paper addresses the megnetohydrodynamic Jeffrey fluid flow with heat and mass transfer on an infinitely rotating upright cone. Inquiry is carried out with heat source/sink and chemical reaction ***, constant thermal and concentration flux situations are imposed. Optimal homotopy analysis method (OHAm) is employed to achieve series solutions of the concerned differential equations. Important results of the flow phenomena are explored and deliberated by means of graphs and numerical tables. It is perceived that thermal boundary layer thickness possess contrast variations for the heat source and heat sink, respectively. The chemical reaction enhances the heat transfer rate but decline the mass transfer rate. moreover, the precision of the existing findings is verified by associating them with the previously available work.

关键词： magnetohydrodynamics Jeffrey fluid rotational flow heat generation/absorption chemical reaction

Hydromagnetic Carreau Nanoliquid in Frames of Dissipation and Activation Energy

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Communications in Theoretical Physics 2019年第12期71卷 1416-1424页

作者： m.Waqas Saira Naz T.Hayat m.Ijaz Khan A.Alsaedi NUTECH School of Applied Sciences and Humanities.National University of Technology Islamabad 44000Pakistan Departrnent of mathematics Quaid-I-Azam University 45320Islamabad 44000Pakistan Nonlinear Analysis and Applied mathematics(NAAm)Research Group Department of MathematicsFaculty of ScienceKing Abdulaziz UniversityJeddah 21589Saudi Arabia

The novel characteristics of magnetic field and entropy generation in mixed convective flow of Carreau fluid towards a stretched surface are *** nanoliquid model consists of thermophoresis and Brownian movement aspects is opted for *** expression is modeled subject to thermal radiation and viscous dissipation *** by zero mass flux condition is *** of chemical reaction and activation energy characterizes the mass transfer *** entropy generation rate and Bejan number is *** utilization of transformation variables reduces the PDEs into non-linear *** obtained nonlinear complex problems are computed numerically through Shooting *** impact of involved variables like local Weissenberg number,magnetic parameter,thermal radiation parameter,Brownian motion parameter,thermophoresis parameter,buoyancy ratio parameter,mixed convection parameter,Prandtl parameter,Eckert number,Schmidt number,non-dimensional activation energy parameter,chemical reaction parameter,Brinkman number,dimensionless concentration ratio variable,diffusive variable and dimensionless temperature ratio variable on velocity,temperature,nanoparticles concentration,entropy generation,Bejan number,surface drag force and heat transfer rate are examined through graphs and tables.

关键词： carreau nanoliquid entropy generation viscous dissipation activation energy shooting scheme

Exact solution to peristaltic transport of power-law fluid in asymmetric channel with compliant walls

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Applied mathematics and mechanics(English Edition) 2010年第10期31卷 1231-1240页

作者： T.HAYAT m.JAVED Department of mathematics Quaid-i-Azam University Department of mathematics College of SciencesKing Saud University

Effects of compliant wall properties on the peristaltic flow of a non-Newtonian fluid in an asymmetric channel are *** rheological characteristics are characterized by the constitutive equations of a power-law *** wavelength and low Reynolds number approximations are adopted in the presentation of mathematical *** solutions are established for the stream function and *** streamlines pattern and trapping are given due *** features of the key parameters entering into the present flow are displayed and important conclusions are pointed out.

关键词： peristaltic flow power-law fluid compliant walls

COSET DIAGRAmS FOR A HOmOmORPHIC ImAGE OFΔ(3,3,k)

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Acta mathematica Scientia 2008年第2期28卷 363-370页

作者： m.Ashiq Q.mushtaq Department of Basic Sciences and Humanities College of E and mE National University of Sciences and Technology RawalpindiPakistan Department of mathematics Quaid-i-azam University IslamabadPakistan

Let q be a prime power. By PL（Fq） the authors mean a projective line over the finite field Fq with the additional point ∞. In this article, the authors parametrize the conjugacy classes of nondegenerate homomorphisms which represent actions of △（3, 3, k） = （u, v： u^3 = v^3 = （uv）^k = 1〉on PL（Fq）, where q ≡ ±1（modk）. Also, for various values of k, they find the conditions for the existence of coset diagrams depicting the permutation actions of △（3, 3, k） on PL（Fq）. The conditions are polynomials with integer coefficients and the diagrams are such that every vertex in them is fixed by （u^-v^-）^k. In this way, they get △（3, 3, k） as permutation groups on PL（Fq）.

关键词： Coset diagrams conjugacy classes nondegenerate homomorphism projec tire line and triangle groups

Non-axisymmetric Homann mHD stagnation point flow of Al2O3-Cu/water hybrid nanofluid with shape factor impact

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Applied mathematics and mechanics(English Edition) 2020年第8期41卷 1125-1138页

作者： m.KHAN J.AHmED F.SULTANA m.SARFRAZ Department of mathematics Quaid-i-Azam UniversityIslamabad 44000Pakistan Department of Basic Sciences University of Engineering and TechnologyTaxila 47050Pakistan

The heat transfer of Homann flow in the stagnation region of the Al2 O3-Cu/water hybrid nanofluid is investigated by adopting the Tiwari-Das model over a cylindrical *** effects of the nanoparticle shape,the viscous dissipation,and the nonlinear radiation are *** governing equations are obtained by using similarity transformations,and the numerical outcomes for the flow and the temperature field are noted by bvp4 c on *** numerical solutions of the flow field are compared with the asymptotic behaviors of large shear-to-strain-rate *** effects of variations of parameters involved are inspected for both nanofluid and hybrid nanofluid flows,temperature profiles,local Nusselt numbers,and skin *** is concluded that the velocity and temperature fields in the hybrid nanophase function more rapidly than those in the nanofluid phase.

关键词： cylindrical disk hybrid nanofluid magnetic field non-linear thermal radiation stagnation point flow viscous dissipation