Inclined magnetic field effects on unsteady nanofluid flow and heat transfer in a finite thin film with non-uniform heat source/sink

2019 ◽  
Vol 15 (1) ◽  
pp. 265-282 ◽  
Author(s):  
Shib Sankar Giri ◽  
Kalidas Das ◽  
Prabir Kumar Kundu

PurposeThe purpose of this paper is to discuss the flow and heat transference of unsteady nanofluid thin film flow due to linear stretching velocity over a horizontally placed stretching sheet in corporation of aligned magnetic field and non-uniform heat source/sink.Design/methodology/approachLeading equations of the course have been normalized via similarity approach and unraveled the resulting non-linear equations numerically by consuming RK-4 shooting practice to execute flow analysis.FindingsA close agreement of two sets (for two different base fluids – polyvinyl alcohol and water) of result is perceived. The authors find that inclined magnetic field and nanoparticles concentration curbed velocity distribution which, in turn, causes enrichment of system of temperature distribution.Originality/valueThe paper acquires realistic numerical explanations in form of rapidly convergent series. The influence of emergent flow parameters on specific flow are made appropriately via graphs and charts. An unbiased result scrutiny of the existing section with formerly conveyed result is provided.

Energies ◽  
2019 ◽  
Vol 12 (8) ◽  
pp. 1459 ◽  
Author(s):  
Noor Saeed Khan ◽  
Taza Gul ◽  
Poom Kumam ◽  
Zahir Shah ◽  
Saeed Islam ◽  
...  

The thermodynamics of a Carreau nanoliquid thin film embedded with graphene nanoparticles past a stretching sheet is studied in the presence of inclined magnetic field and non-uniform heat source/sink. Graphene is a new two-dimensional amphiphilic macromolecule which has great applications due to its electrical and mechanical properties. The basic constitutive equations of Carreau nanoliquid for velocity and temperature have been used. Similarity transformations are adopted to achieve the nonlinear coupled differential equations accompanying boundary conditions embedded with different parameters. HAM (Homotopy Analysis Method) is used to solve the transformed equations for expressions of velocity and temperature. Graphs are shown which illustrate the effects of various parameters of interest. There exists a nice agreement between the present and published results. The results are useful for the thermal conductivity and in the analysis and design of coating processes.


2021 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Muhammad Faisal Javed ◽  
Mohammed Jameel ◽  
Muhammad Ijaz Khan ◽  
Sumaira Qayyum ◽  
Niaz B. Khan ◽  
...  

Purpose This study aims to focus on second grade fluid flow over a rotating disk in the presence of chemical reaction. Uniform magnetic field is also taken into account. Because of the smaller magnetic Reynolds number, induced magnetic field is negligible. Heat equation is constructed by considering heat source/sink. Design/methodology/approach Suitable variables are used to transform nonlinear partial differential equations to ordinary ones. Convergent series solutions are attained by applying homotopy analysis method. Findings Trends of different parameters on concentration, velocity and temperature are shown graphically. Skin friction coefficient and local Nusselt number are calculated and investigated under the effect of elaborated parameters. An elevation in the value of magnetic field parameter causes collapse in the velocity distributions. Velocity distribution in increasing function of viscoelastic parameter. Temperature and concentration profiles are decreasing functions of viscoelastic parameter. Concentration distribution reduces by increasing the chemical reaction parameter. There is more surface drag force for larger M, while opposite behavior is noted for β. Originality/value To the best of the authors’ knowledge, such consideration is yet to be published in the literature.


2019 ◽  
Vol 15 (2) ◽  
pp. 452-472 ◽  
Author(s):  
Jayarami Reddy Konda ◽  
Madhusudhana Reddy N.P. ◽  
Ramakrishna Konijeti ◽  
Abhishek Dasore

PurposeThe purpose of this paper is to examine the influence of magnetic field on Williamson nanofluid embedded in a porous medium in the presence of non-uniform heat source/sink, chemical reaction and thermal radiation effects.Design/methodology/approachThe governing physical problem is presented using the traditional Navier–Stokes theory. Consequential system of equations is transformed into a set of non-linear ordinary differential equations by means of scaling group of transformation, which are solved using the Runge–Kutta–Fehlberg method.FindingsThe working fluid is examined for several sundry parameters graphically and in a tabular form. It is noticed that with an increase in Eckert number, there is an increase in velocity and temperature along with a decrease in shear stress and heat transfer rate.Originality/valueA good agreement of the present results has been observed by comparing with the existing literature results.


2017 ◽  
Vol 1 (2) ◽  
pp. 104 ◽  
Author(s):  
Ajaz Ahmad Dar

<p><em>This article deals with the effect of an inclined magnetic field with heat source/sink on the flow of nanofluids in a tapered asymmetric porous channel. Effect of chemical reaction has been taken into account. The blood is considered as an incompressible electrically conducting viscous fluid. The assumption of low Reynolds number and long wave length approximations has been adopted. Exact solutions for dimensionless axial velocity, concentration and temperature profile are obtained analytically. The obtained results are displayed and discussed in detail with the help of graphs for the variation of different emerging flow parameters.</em></p>


2021 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Mohamed Dhia Massoudi ◽  
Mohamed Bechir Ben Hamida ◽  
Mohammed A. Almeshaal ◽  
Yahya Ali Rothan ◽  
Khalil Hajlaoui

Purpose The purpose of this paper is to examine numerically the magnetohydrodynamic (MHD) free convection and thermal radiation heat transfer of single walled carbon nanotubes-water nanofluid within T-inverted shaped corrugated cavity comprising porous media including uniform heat source/sink for solar energy power plants applications. Design/methodology/approach The two-dimensional numerical simulation is performed by drawing on Comsol Multiphysics program, based on the finite element process. Findings The important results obtained show that increasing numbers of Rayleigh and Darcy and the parameter of radiation enhance the flow of convection heat. Furthermore, by increasing the corrugation height, the convection flow increases, but it decreases with the multiplication of the corrugation height. The use of a flat cavity provides better output than a corrugated cavity. Originality/value The role of surface corrugation parameters on the efficiency of free convection and heat transfer of thermal radiation within the porous media containing the T-inverted corrugated cavity including uniform heat source/sink under the impact of Lorentz forces has never been explored. A contrast is also established between a flat cavity and a corrugated one.


2019 ◽  
Vol 9 (4) ◽  
pp. 4361-4366
Author(s):  
M. R. Abdullah ◽  
O. K. Alghazawi ◽  
M. Al-Ayyad

An analysis is carried out in order to examine the effects of non-uniform heat source and thermal radiation on the transient free convective MHD flow past a vertical plate. In this model, an inclined magnetic field with periodic heat flux along the wall is included. The governing equations (in non-dimensional shape) are solved numerically by a fully implicit finite difference scheme. A parametric study is performed in order to illustrate the influences of the model dimensionless parameters, namely, the magnetic parameter, the heat source term, the Grashof number, the Prandtl number, and the radiation parameter. The velocity field and the temperature field are evaluated for several amounts of these parameters. The obtained numerical results are compared with the analytical solution in case of constant heat flux with no heat source, and a full agreement was found.


2018 ◽  
Vol 28 (6) ◽  
pp. 1238-1255 ◽  
Author(s):  
Prabhugouda Mallanagouda Patil ◽  
Nafisabanu Kumbarwadi ◽  
Shashikant A.

Purpose The purpose of this paper is to investigate the magnetohydrodynamics mixed convection flow over an exponentially stretching surface in the presence of non-uniform heat source/sink and cross-diffusion. Adequate non-similar transformations are used to transform governing mixed convection boundary layer equations to dimensionless form. Design/methodology/approach These dimensionless partial differential equations are solved by using implicit finite difference scheme in conjunction with Quasi-linearization technique. Findings The effects of admissible parameters such as Eckert number (Ec), the ratio of buoyancy forces parameter (N), non-uniform heat source/sink, Soret and Dufour numbers on flow, temperature and concentration distributions are discussed and analysed through graphs. In addition, the results for skin friction coefficient, Sherwood number and Nusselt number are presented and discussed graphically. Originality/value In literature, no research work has been found in similar to this research paper.


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