MAGNETOHYDRO DYNAMIC FLOW OF BLOOD IN A PERMEABLE INCLINED STRETCHING SURFACE WITH VISCOUS DISSIPATION, NON-UNIFORM HEAT SOURCE/SINK AND CHEMICAL REACTION

In this paper, unsteady MHD flow of heat and mass transfer of Cu-water and TiO2-water nanofluids over stretching sheet with a non-uniform heat/source/sink considering viscous dissipation and chemical reaction is investigated. The governing partial differential equations with the corresponding boundary conditions are transformed to a system of non-linear ordinary differential equations and solved using Keller box method. The velocity, temperature and concentration profiles are obtained and the influences of various relevant parameters, namely the magnetic parameter M, Prandtl number Pr, Eckert number Ec, Schmidt number Le , chemical reaction parameter K,unsteadiness parameter S and the Soret number Sr on velocity, temperature and concentration profiles are discussed. The skin-friction coefficient–f''(0), heat transfer coefficient –θ'(0) and mass transfer coefficient –φ'(0) are presented in tables. A comparison with published results is also presented and found in good agreement. Keywords: MHD; Keller box method; unsteady; nanofluid; non-uniform heat/source/sink; chemical reaction; viscous dissipation.

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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.

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Impact of Chemical Reaction on Marangoni Boundary Layer Flow of a Casson Nano Liquid in the Presence of Uniform Heat Source Sink

Diffusion Foundations ◽

10.4028/www.scientific.net/df.11.22 ◽

2017 ◽

Vol 11 ◽

pp. 22-32 ◽

Cited By ~ 15

Author(s):

K. Ganesh Kumar ◽

Bijjanal Jayanna Gireesha ◽

B.C. Prasannakumara ◽

Oluwole Daniel Makinde

Keyword(s):

Boundary Layer ◽

Heat Source ◽

Chemical Reaction ◽

Boundary Layer Flow ◽

Boundary Surface ◽

Lewis Number ◽

Uniform Heat ◽

Layer Flow ◽

Marangoni Boundary Layer ◽

Source Sink

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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