Three-dimensional nanofluid stirring with non-uniform heat source/sink through an elongated sheet

2022 ◽  
Vol 421 ◽  
pp. 126927
Author(s):  
Thirupathi Thumma ◽  
S.R. Mishra ◽  
M. Ali Abbas ◽  
M.M. Bhatti ◽  
Sara I. Abdelsalam
Author(s):  
Chalavadi Sulochana ◽  
Samrat S. Payad ◽  
Naramgari Sandeep

This study deals with the three-dimensional magnetohydrodynamic Casson fluid flow, heat and mass transfer over a stretching surface in the presence of non-uniform heat source/sink, thermal radiation and Soret effects. The governing partial differential equations are transformed to nonlinear ordinary differential equations by using similarity transformation, which are then solved numerically using Runge-Kutta based shooting technique. We obtained good accuracy of the present results by comparing with the exited literature. The influence of dimensionless parameters on velocity, temperature and concentration profiles along with the friction factor, local Nusselt and Sherwood numbers are discussed with the help of graphs and tables. It is found that the positive values of non-uniform heat source/sink parameters acts like heat generators and helps to develop the temperature profiles of the flow.


2017 ◽  
Vol 11 ◽  
pp. 182-190
Author(s):  
Gauri Shenkar Seth ◽  
Rohit Sharma ◽  
B. Kumbhakar ◽  
R. Tripathi

An investigation is carried out for the steady, two dimensional stagnation point flow of a viscous, incompressible, electrically conducting, optically thick heat radiating fluid taking viscous dissipation into account over an exponentially stretching non-isothermal sheet with exponentially moving free-stream in the presence of uniform transverse magnetic field and non-uniform heat source/sink. The governing boundary layer equations are transformed into highly nonlinear ordinary differential equations using suitable similarity transform. Resulting boundary value problem is solved numerically with the help of 4th-order Runge-Kutta Gill method along with shooting technique. Effects of various pertinent flow parameters on the velocity, temperature field, skin friction and Nusselt number are described through figures and tables. Also, the present numerical results are compared with the earlier published results for some reduced case and a good agreement has been found among those results.


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 11 ◽  
pp. 22-32 ◽  
Author(s):  
K. Ganesh Kumar ◽  
Bijjanal Jayanna Gireesha ◽  
B.C. Prasannakumara ◽  
Oluwole Daniel Makinde

This paper explore the Marangoni boundary layer flow in a Casson nano liquid over a stretching sheet. The effect of chemical reaction and uniform heat source/sink are taken into the account. The standard nonlinear system is resolved numerically via Runge-Kutta based shooting scheme. Role of substantial parameters on flow fields as well as on heat and mass transportation rates are determined and conferred in depth through graphs.From the investigation it reveals that, the Marangoni number plays a connecting role between the velocity and temperature gradients on the boundary surface. Further,the higher values of Lewis number and chemical reaction parameter reduces the solutal thermal boundary layer thickness decreases.


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