scholarly journals Heat and mass transfer of Williamson nanofluid flow yield by an inclined Lorentz force over a nonlinear stretching sheet

2018 ◽  
Vol 8 ◽  
pp. 862-868 ◽  
Author(s):  
Mair Khan ◽  
M.Y. Malik ◽  
T. Salahuddin ◽  
Arif. Hussian
2020 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Soraya Torkaman ◽  
Ghasem Barid Loghmani ◽  
Mohammad Heydari ◽  
Abdul-Majid Wazwaz

Purpose The purpose of this paper is to investigate a three-dimensional boundary layer flow with considering heat and mass transfer on a nonlinearly stretching sheet by using a novel operational-matrix-based method. Design/methodology/approach The partial differential equations that governing the problem are converted into the system of nonlinear ordinary differential equations (ODEs) with considering suitable similarity transformations. A direct numerical method based on the operational matrices of integration and product for the linear barycentric rational basic functions is used to solve the nonlinear system of ODEs. Findings Graphical and tabular results are provided to illustrate the effect of various parameters involved in the problem on the velocity profiles, temperature distribution, nanoparticle volume fraction, Nusselt and Sherwood number and skin friction coefficient. Comparison between the obtained results, numerical results based on the Maple's dsolve (type = numeric) command and previous existing results affirms the efficiency and accuracy of the proposed method. Originality/value The motivation of the present study is to provide an effective computational method based on the operational matrices of the barycentric cardinal functions for solving the problem of three-dimensional nanofluid flow with heat and mass transfer. The convergence analysis of the presented scheme is discussed. The benefit of the proposed method (PM) is that, without using any collocation points, the governing equations are converted to the system of algebraic equations.


2020 ◽  
Author(s):  
kanwal Jabeen ◽  
Muhamad Mushtaq ◽  
Rana MUhammad Akram

Abstract Unsteady mixed convectional boundary layer flow of Casson nanofluid having magnetic( Fe3O4) and nonmagnetic( Al2O3) nanoparticles suspension within two different types of base fluids, water(Newtonian) and Sodium Alginate(non-Newtonian), which incorporates viscous and ohmic dissipation effects over a permeable nonlinear stretching sheet with magnetic field effects. Some suitable non-dimensional similarity transformations are applied to convert the governing PDEs into a system of nonlinear coupled ODEs and then solved by differential transformation method(DTM) association with Pade-approximation. To validate the present results for limited cases, a comparison was made with previously existing literature and found to be in well agreement. The impact of radiation, internal heat sink/ source, viscous and ohmic dissipation was discussed for magnetic and non-magnetic nanofluid categories by tabular and graphical demonstrations. We have presented the tabular results of various emerging parameters to discuss the nature of skin friction, Nusselt and Sherwood numbers. It was also observed that performance of non-Newtonian(Sodium Alginate) fluid in heat and mass transfer is better than Newtonian(water) based fluid but no major difference was seen in heat and mass transfer when comparison was made with Magnetic and Non-magnetic nanoparticles


Heat Transfer ◽  
2020 ◽  
Vol 49 (8) ◽  
pp. 5020-5037
Author(s):  
Ankalagiri Chinna Venkata Ramudu ◽  
Kempannagari Anantha Kumar ◽  
Vangala Sugunamma ◽  
Naramgari Sandeep

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