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Unsteady boundary layer flow and heat transfer over an exponentially shrinking sheet with suction in a copper-water nanofluid

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Journal of Central South University 2015年第12期22卷 4856-4863页

作者： Aurang Zaib Krishnendu Bhattacharyya sharidan shafie Department of Mathematical Sciences Federal Urdu University of ArtsScience & Technology Department of Mathematics The University of Burdwan Department of Mathematical Sciences Faculty of ScienceUniversiti Teknologi Malaysia

An analysis of unsteady boundary layer flow and heat transfer over an exponentially shrinking porous sheet filled with a copper-water nanofluid is *** is treated as a base *** the investigation,non-uniform mass suction through the porous sheet is *** Keller-box method the transformed equations are solved *** results of skin friction coefficient,the local Nusselt number as well as the velocity and temperature profiles are presented for different flow *** results showed that the dual non-similar solutions exist only when certain amount of mass suction is applied through the porous sheet for various unsteady parameters and nanoparticle volume *** ranges of suction where dual non-similar solution exists,become larger when values of unsteady parameter as well as nanoparticle volume fraction ***,due to unsteadiness of flow dynamics and the presence of nanoparticles in flow field,the requirement of mass suction for existence of solution of boundary layer flow past an exponentially shrinking sheet is ***,the velocity boundary layer thickness decreases and thermal boundary layer thickness increases with increasing of nanoparticle volume fraction in both non-similar ***,for stronger mass suction,the velocity boundary layer thickness becomes thinner for the first solution and the effect is opposite in the case of second *** temperature inside the boundary layer increases with nanoparticle volume fraction and decreases with mass ***,for the unsteadiness and for the presence of nanoparticles,the flow separation is delayed to some extent.

关键词： unsteady boundary layer heat transfer nanofluid exponentially shrinking sheet dual non-similar solutions

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Heat Transfer in MHD Flow of Maxwell Fluid via Fractional Cattaneo-Friedrich Model:A Finite Difference Approach

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Computers, Materials & Continua 2020年第12期65卷 1959-1973页

作者： Muhammad Saqib Hanifa Hanif T.Abdeljawad Ilyas Khan sharidan shafie Kottakkaran Sooppy Nisar Department of Mathematical Sciences Faculty of ScienceUniversiti Teknologi MalaysiaJohor Bahru81310Malaysia Department of Mathematics Sardar Bahadur Khan Women’s UniversityQuettaPakistan Department of Mathematics and General Sciences Prince Sultan UniversityRiyadh11586Saudi Arabia Department of Medical Research China Medical UniversityTaichung40402Taiwan Department of Computer Science and Information Engineering Asia UniversityTaichung40402Taiwan Faculty of Mathematics and Statistics Ton Duc Thang UniversityHo Chi Minh CityVietnam Department of Mathematics College of Arts and SciencesPrince Sattam bin Abdulaziz UniversityWadi Aldawaser11991Saudi Arabia

The idea of fractional derivatives is applied to several problems of viscoelastic ***,most of these problems(fluid problems),were studied analytically using different integral transform techniques,as most of these problems are *** idea of the above fractional derivatives is rarely applied to fluid problems governed by nonlinear partial differential *** importantly,in the nonlinear problems,either the fractional models are developed by artificial replacement of the classical derivatives with fractional derivatives or simple classical problems(without developing the fractional model even using artificial replacement)are *** problems were mostly solved for steady-state fluid *** the present article,studied unsteady nonlinear non-Newtonian fluid problem(Cattaneo-Friedrich Maxwell(CFM)model)and the fractional model are developed starting from the fractional constitutive equations to the fractional governing equations;in other words,the artificial replacement of the classical derivatives with fractional derivatives is not done,but in details,the fractional problem is modeled from the fractional constitutive *** exactly two-dimensional magnetic resistive flow in a porous medium of fractional Maxwell fluid(FMF)over an inclined plate with variable velocity and the temperature is *** Caputo time-fractional derivative model(CFM)is used in the governing *** proposed model is numerically solved via finite difference method(FDM)along with L1-scheme for *** numerical results are presented in various *** results indicated that the fractional parameters significantly affect the temperature and velocity *** is noticed that the temperature field increased with an increase in the fractional ***,the effect of fractional parameters is opposite on the velocity field near the ***,this trend became like that of the temperature profile,away from the ***,

关键词： Viscoelastic fluid Cattaneo-Friedrich Maxwell model variable heating magnetohydrodynamic(MHD) porous medium fractional derivatives

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Analysis of Magnetic Resistive Flow of Generalized Brinkman Type Nanofluid Containing Carbon Nanotubes with Ramped Heating

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Computers, Materials & Continua 2021年第4期67卷 1069-1084页

作者： Muhammad Saqib Ilyas Khan sharidan shafie Ahmad Qushairi Mohamad El-Sayed M.Sherif Department of Mathematical Sciences Faculty of ScienceUniversiti Teknologi MalaysiaJohor Bahru81310Malaysia Faculty of Mathematics and Statistics Ton Duc Thang UniversityHo Chi Minh CityVietnam Center of Excellence for Research in Engineering Materials(CEREM) King Saud UniversityAl-Riyadh11421Saudi Arabia Department of Physical Chemistry Electrochemistry and Corrosion LaboratoryNational Research CentreCairo12622Egypt

In recent times,scientists and engineers have been most attracted to electrically conducted nanofluids due to their numerous applications in various fields of science and *** example,they are used in cancer treatment(hyperthermia),magnetic resonance imaging(MRI),drugdelivery,and magnetic refrigeration(MR).Bearing in mind the significance and importance of electrically conducted nanofluids,this article aims to study an electrically conducted water-based nanofluid containing carbon nanotubes(CNTs).CNTs are of two types,single-wall carbon nanotubes(SWCNTs)and multiple-wall carbon nanotubes(MWCNTs).The CNTs(SWCNTs and MWCNTs)have been dispersed in regular water as base fluid to form waterCNTs *** Brinkman Type nanofluid model is developed in terms of time-fractional *** ramped heating and sinusoidal oscillations conditions have been taken at the *** model has been solved for exact analytical solutions via the fractional Laplace transform *** exact solutions have been graphically studied to explore the physics of various pertinent flow parameters on velocity and temperature *** empirical results reveal that the temperature and velocity fields decreased with increasing values of fractional parameters due to variation in thermal and momentum boundary *** is also indicated that the isothermal velocity and temperature are higher than ramped velocity and temperature.

关键词： Nanofluid fractional derivatives Brinkman type fluid exact solutions

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Micropolar fluid flow and heat transfer over exponentially permeable shrinking sheet

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Propulsion and Power Research 2016年第4期5卷 310-317页

作者： Aurangzaib Md.Sharif Uddin Krishnendu Bhattacharyya sharidan shafie Department of Mathematical Sciences Federal Urdu University of ArtsScience&TechnologyGulshan-e-IqbalKarachiPakistan Mathematics Discipline Khulna UniversityKhulna 9208Bangladesh Department of Mathematics Institute of ScienceBanaras Hindu UniversityVaranasi 221005Uttar PradeshIndia Department of Mathematics The University of BurdwanBurdwan 713104West BengalIndia Department of Mathematical Sciences Faculty of ScienceUnh ersiti Teknologi MalaysiaSkudaiJohor Bahru 81310JohorMalaysia

The importance of boundary layer flow of micropolar fluid and heat transfer over an exponentially penneable shrinking sheet is *** similarity approach is adopted and self-similar ordinary differential equations are obtained and then those are solved numerically using very efficient shooting *** to that of Newtonian fluid flow case,here also dual similarity solutions for velocity,microrotation and temperature are obtained when certain amount of mass suction is applied through the porous *** steady flow of micropolar fluid over exponentially shrinking porous sheet the mass suction need to be stronger compared to the Newtonian fluid *** dual velocity,microrotation,and temperature profiles it is found that the velocity decreases with material parameter(related to micropolar fluid)for first solution and it increases for second,whereas the effects are opposite for fluid *** the other hand,for larger material parameter microrotation profile reduces for both types of *** it significant that the skin friction coefficient,the couple stress coefficient and the heat transfer coefficient show similar variation with increasing material parameter,all those physical quantities decrease for first solution and increase for second solution.

关键词： Micropolar fluid flow Heat transfer Dual solutions Shrinking sheet Exponential velocity

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