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Influences of Marangoni convection and variable magnetic field on hybrid nanofluid thin-film flow past a stretching surface

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Chinese Physics B 2022年第6期31卷 494-501页

作者： Noor Wali Khan Arshad Khan Muhammad Usman Taza Gul Abir Mouldi Ameni Brahmia Department of Mathematics City University of Science and ITPeshawar 25000Pakistan College of Aeronautical Engineering National University of Sciences and Technology(NUST)Sector H-12Islamabad 44000Pakistan Higher Education Archives and Libraries Department KP Govt.Superior Science CollegePeshawarPakistan Department of Industrial Engineering College of EngineeringKing Khalid UniversityAbha 61421KSA Chemistry Department College of ScienceKing Khalid UniversityAbha 61413Saudi Arabia

Investigations on thin-film flow play a vital role in the field of optoelectronics and magnetic *** films are reasonably hard and thermally stable but quite *** thermal stability of a thin film can be further improved by incorporating the effects of *** the current work,a stretchable surface is considered upon which hybrid nanofluid thin-film flow is taken into *** idea of augmenting heat transmission by making use of a hybrid nanofluid is a focus of the current *** flow is affected by variations in the viscous forces,along with viscous dissipation effects and Marangoni convection.A time-constrained magnetic field is applied in the normal direction to the flow *** equations governing the flow system are shifted to a non-dimensional form by applying similarity *** homotopy analysis method is employed to find the solution to the resultant *** is noticed in this study that the flow characteristics decline with augmentation of magnetic,viscosity and unsteadiness parameters while they increase with enhanced values of thin-film *** characteristics are supported by increasing values of the Eckert number and the unsteadiness parameter and opposed by the viscosity parameter and Prandtl *** numerical impact of different emerging parameters upon skin friction and the Nusselt number is calculated in tabular form.A comparison of current work with established results is carried out,with good agreement.

关键词： thin-film flow hybrid nanofluid viscous dissipation stretching surface homotopy analysis method

An efficient analytical decomposition and numerical procedure for boundary layer flow on a continuous stretching surface

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Journal of University of Science and Technology Beijing 2006年第5期13卷 401-405页

作者： Xuehui Chen Liancun Zheng Xinxin Zhang Mechanical Engineering School University of Science and Technology Beijing Beijing 100083 China Applied Science School University of Science and Technology Beijing Beijing 100083 China

An efficient Adomian analytical decomposition technique for studying the momentum and heat boundary layer equations with exponentially stretching surface conditions was presented and an approximate analytical solution was obtained, which can be represented in terms of a rapid convergent power series with elegantly computable terms. The reliability and efficiency of the approximate solution were verified using numerical solutions in the literature. The approximate solution can be successfully applied to provide the values of skin friction and the temperature gradient coefficient.

关键词： momentum heat transfer stretching surface decomposition technique analytical approximation

Exact solutions for the flow of Casson fluid over a stretching surface with transpiration and heat transfer effects

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Chinese Physics B 2013年第11期22卷 356-361页

作者： Swati Mukhopadhyay Krishnendu Bhattacharyya Tasawar Hayat Department of Mathematics The University of Burdwan Department of Mathematics Quaid-i-Azam University 45320 Department of Mathematics Faculty of Science King Abdulziz University

The effects of transpiration on forced convection boundary layer non-Newtonian fluid flow and heat transfer toward a linearly stretching surface are reported. The flow is caused solely by the stretching of the sheet in its own plane with a velocity varying linearly with the distance from a fixed point. The constitutive relationship for the Casson fluid is used. The governing partial differential equations corresponding to the momentum and energy equations are converted into non-linear ordinary differential equations by using similarity transformations. Exact solutions of the resulting ordinary differential equations are obtained. The effect of increasing Casson parameter, i.e., with decreasing yield stress （the fluid behaves as a Newtonian fluid as the Casson parameter becomes large）, is to suppress the velocity field. However, the temperature is enhanced as the Casson parameter increases. It is observed that the effect of transpiration is to decrease the fluid velocity as well as the temperature. The skin-friction coefficient is found to increase as the transpiration parameter increases.

关键词： stretching surface transpiration Casson fluid heat transfer

Effects of thermal radiation on Casson fluid flow and heat transfer over an unsteady stretching surface subjected to suction/blowing

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Chinese Physics B 2013年第11期22卷 362-368页

作者： Swati Mukhopadhyay Department of Mathematics The University of Burdwan

The unsteady flow of a Casson fluid and heat transfer over a stretching surface in presence of suction/blowing are investigated. The transformed equations are solved numerically by using the shooting method. The exact solution corre- sponding to the momentum equation for the steady case is obtained. Fluid velocity initially decreases with the increase of unsteadiness parameter. Due to an increasing Casson parameter the velocity field is suppressed. Thermal radiation enhances the effective thermal diffusivity and the temperature rises.

关键词： unsteady flow Casson fluid stretching surface suction/blowing

MHD effect of mixed convection boundary-layer flow of Powell-Eyring fluid past nonlinear stretching surface

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Applied Mathematics and Mechanics(English Edition) 2014年第12期35卷 1525-1540页

作者： S.PANIGRAHI M.REZA A.K.MISHRA Department of Mathematics National Institute of Science & TechnologyBerhampur 761008 India Department of Mathematics Berhampur UniversityBerhampur 760007 India

Sufficient conditions are found for the existence of similar solutions of the mixed convection flow of a Powell-Eyring fluid over a nonlinear stretching permeable sur- face in the presence of magnetic field. To achieve this, one parameter linear group trans- formation is applied. The governing momentum and energy equations are transformed to nonlinear ordinary differential equations by use of a similarity transformation. These equations are solved by the homotopy analysis method （HAM） to obtain the approximate solutions. The effects of magnetic field, suction, and buoyancy on the Powell-Eyring fluid flow with heat transfer inside the boundary layer are analyzed. The effects of the non- Newtonian fluid （Powell-Eyring model） parameters ε and δon the skin friction and local heat transfer coefficients for the cases of aiding and opposite flows are investigated and discussed. It is observed that the momentum boundary layer thickness increases and the thermal boundary layer thickness decreases with the increase in ε whereas the momentum boundary layer thickness decreases and thermal boundary layer thickness increases with the increase in δ for both the aiding and opposing mixed convection flows.

关键词： stretching surface non-Newtonian fluid mixed convection

Group　Theory　Analysis　of　Free　Convective　BoundaryLayer　Behavior　at　a　stretching　surface

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Journal of Thermal Science 1995年第4期4卷 229-235页

作者： Junmei Shi Xuezi Xu Jianren Fan Kefa Cen (Department of Energy Engineering, +Department of Mechanics, Zhejiang University, Hangzhou, 310027,China) Department of Energy Engineering Zhejiang University Hangzhou China Department of Mechanics Zhejiang University Hangzhou China

In the Present study, free convection and heat transfer behavior of electrically conducting fluid in the boundary layer over a vertical continuously stretching surface is investigated. The effects of free convection, magnetic field, suction/blowing at the surface and the stretching speed of the surface on the flow and heat transfer characteristics are considered. By applying one-parametric group theory to analysis of the problem, a similarity solution is found. The governing equations of continuity, momentum and energy are solved numerically by a fourth-order Runge-Kutta scheme. The numerical results, which are obtained for the flow and heat transfer characteristics, reveal the influences of the parameters.

关键词： group theory stretching surface free convection.

Unsteady flow of a Maxwell nanofluid over a stretching surface in the presence of magnetohydrodynamie and thermal radiation effects

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Propulsion and Power Research 2017年第1期6卷 31-40页

作者： Macha Madhu Naikoti Kishan Ali J.Chamkha Department of Mathematics Osmania UniversityHyderabad-7TSIndia Mechanical Engineering Department Prince Mohammad Bin Fahd UniversityAl-Khobar 31952Kingdom of Saudi Arabia

The problem of unsteady magnetohydrodynamic(MHD)boundary layer flow of a non-Newtonian Maxwell nanofluid over a stretching surface with thennal radiation is *** Maxwell model is used to characterize the non-Newtonian fluid *** appropriate similarity transformation Is employed to transform the governing partial differential equations of mass,momentum,energy and nanoparticle concentration into ordinary differential *** coupled non-linear ordinary differential equations are solved by using the variational finite element *** flow features and the heat transfer characteristics and nanoparticle volume fraction are analyzed and discussed in detail for several sets of values of the governing flow *** results for the skin-friction coefficient,local Nusselt number and the local Sherwood number are presented in tables for various values of the flow controlling parameters.

关键词： Unsteady flow stretching surface Maxwell nanofluid Magnetohydrodynamic(MHD) Thermal radiation

Effect of viscous dissipation and heat source on flow and heat transfer of dusty fluid over unsteady stretching sheet

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Applied Mathematics and Mechanics(English Edition) 2012年第8期33卷 1001-1014页

作者： B.J.GIREESHA G.S.ROOPA C.S.BAGEWADI Department of Studies and Research in Mathematics Kuvempu UniversityShankaraghatta 577451KarnatakaIndia

This paper investigates the problem of hydrodynamic boundary layer flow and heat transfer of a dusty fluid over an unsteady stretching surface. The study considers the effects of frictional heating （viscous dissipation） and internal heat generation or ab- sorption. The basic equations governing the flow and heat transfer are reduced to a set of non-linear ordinary differential equations by applying suitable similarity transformations. The transformed equations are numerically solved by the Runge-Kutta-Fehlberg-45 order method. An analysis is carried out for two different cases of heating processes, namely, variable wall temperature （VWT） and variable heat flux （VHF）. The effects of various physical parameters such as the magnetic parameter, the fluid-particle interaction pa- rameter, the unsteady parameter, the Prandtl number, the Eckert number, the number density of dust particles, and the heat source/sink parameter on velocity and temperature profiles are shown in several plots. The effects of the wall temperature gradient function and the wall temperature function are tabulated and discussed.

关键词： heat transfer boundary layer flow stretching surface dusty fluid viscousdissipation non-uniform heat source numerical solution

Analytical solution of magnetohydrodynamic sink flow

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Applied Mathematics and Mechanics(English Edition) 2011年第10期32卷 1221-1230页

作者：章骥方铁钢钟永芳 Mechanical and Aerospace Engineering Department North Carolina State UniversityRaleigh NC 27695 USA School of Engineering Penn State Erie the Behrend CollegeErie PA 16563-1701 USA

An analytical solution to the famous Falkner-Skan equation for the magnetohydrodynamic （MHD） flow is obtained for a special case, namely, the sink flow with a velocity power index of-1. The solution is given in a closed form. Multiple solution branches are obtained. The effects of the magnetic parameter and the wall stretching parameter are analyzed. Interesting velocity profiles are observed with reversal flow regions even for a stationary wall. These solutions provide a rare case of the Falkner-Skan MHD flow with an analytical closed form formula. They greatly enrich the analytical solution for the celebrated Falkner-Skan equation and provide better understanding of this equation.

关键词： similarity solution Falkner-Skan equation stretching surface magnetohydrodynamic (MHD) analytical solution sink flow