Analytical exploration of a TiO2 nanofluid along a rotating disk with homogeneous-heterogeneous chemical reactions and non-uniform heat source/sink

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.

Download Full-text

MHD Stagnation Point Flow over Exponentially Stretching Sheet with Exponentially Moving Free-Stream, Viscous Dissipation, Thermal Radiation and Non-Uniform Heat Source/Sink

Diffusion Foundations ◽

10.4028/www.scientific.net/df.11.182 ◽

2017 ◽

Vol 11 ◽

pp. 182-190

Author(s):

Gauri Shenkar Seth ◽

Rohit Sharma ◽

B. Kumbhakar ◽

R. Tripathi

Keyword(s):

Heat Source ◽

Stagnation Point ◽

Viscous Dissipation ◽

Free Stream ◽

Transverse Magnetic ◽

Stagnation Point Flow ◽

Uniform Heat ◽

Highly Nonlinear ◽

Exponentially Stretching ◽

Source Sink

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.

Download Full-text

Hydromagnetic convective diffusion of species in Darcy–Forchheimer porous medium with non-uniform heat source/sink and variable viscosity

International Communications in Heat and Mass Transfer ◽

10.1016/j.icheatmasstransfer.2012.05.012 ◽

2012 ◽

Vol 39 (7) ◽

pp. 913-917 ◽

Cited By ~ 71

Author(s):

Dulal Pal ◽

Hiranmoy Mondal

Keyword(s):

Porous Medium ◽

Heat Source ◽

Convective Diffusion ◽

Variable Viscosity ◽

Uniform Heat ◽

Source Sink

Download Full-text

Effect of non-uniform heat source/sink on MHD boundary layer flow and melting heat transfer of Williamson nanofluid in porous medium

Multidiscipline Modeling in Materials and Structures ◽

10.1108/mmms-01-2018-0011 ◽

2019 ◽

Vol 15 (2) ◽

pp. 452-472 ◽

Cited By ~ 4

Author(s):

Jayarami Reddy Konda ◽

Madhusudhana Reddy N.P. ◽

Ramakrishna Konijeti ◽

Abhishek Dasore

Keyword(s):

Heat Transfer ◽

Porous Medium ◽

Heat Source ◽

Radiation Effects ◽

Navier Stokes ◽

Working Fluid ◽

Content Type ◽

Linear Ordinary Differential Equations ◽

Uniform Heat ◽

Source Sink

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.

Download Full-text