Rotating Flow of Magnetite-Water Nanofluid over a Stretching Surface Inspired by Non-Linear Thermal Radiation

Present investigation is concerned with mixed convection flow of Williamson nanoliquid over an unsteady slandering stretching sheet. Aspects of non-linear thermal radiation, Brownian diffusion and thermophoresis effects are addressed. Non-linear stretching surface of varying thickness induce the flow. Novel features of combined zero mass flux and convective conditions are accounted. Use of appropriate transformations results into the non-linear ODEs. Computations for the convergent solutions are provided. Graphs are designed for interpretations to quantities. Nusselt number and surface drag are computationally inspected. Our computed results indicate that attributes of nanoparticles and non-linear thermal radiation enhance the temperature distribution.

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Effect of Thermal Radiation on Magneto-Convection of a Micropolar Nanoliquid towards a Non-Linear Stretching Surface with Convective Boundary

International Journal of Engineering & Technology ◽

10.14419/ijet.v7i4.10.21030 ◽

2018 ◽

Vol 7 (4.10) ◽

pp. 417

Author(s):

K. Jagan ◽

S. Sivasankaran ◽

M. Bhuvaneswari ◽

S. Rajan

Keyword(s):

Differential Equations ◽

Thermal Radiation ◽

Ordinary Differential Equations ◽

Convective Boundary Condition ◽

Convection Flow ◽

Stretching Surface ◽

Convective Boundary ◽

Linear Ordinary Differential Equations ◽

Boundary Parameter ◽

Non Linear

The objective of this paper is to analyze the effect of thermal radiation on MHD mixed convection flow of a micropolar nanoliquid towards a non-linear stretching surface with convective boundary condition. The governing equations are converted into non-linear ordinary differential equations by using suitable similarity transformations. The homotopy analysis method is used for solving the non-linear ordinary differential equations. The temperature profiles increase due to increase in thermal radiation parameter. The microrotation profile increases when boundary parameter is increased. Also, the skin friction coefficient and local Nusselt are plotted for various parameters.

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MHD boundary layer slip flow of a casson fluid over an exponentially stretching surface in the presence of thermal radiation and chemical reaction

Journal of Naval Architecture and Marine Engineering ◽

10.3329/jname.v13i2.23537 ◽

2016 ◽

Vol 13 (2) ◽

pp. 165-177 ◽

Cited By ~ 2

Author(s):

P. Bala Anki Reddy

Keyword(s):

Boundary Layer ◽

Differential Equations ◽

Thermal Radiation ◽

Ordinary Differential Equations ◽

Casson Fluid ◽

Stretching Surface ◽

Linear Ordinary Differential Equations ◽

Non Linear ◽

Exponentially Stretching Surface ◽

Exponentially Stretching

An analysis is carried out to investigate the steady two-dimensional magnetohydrodynamic boundary layer flow of a Casson fluid over an exponentially stretching surface in the presence of thermal radiation and chemical reaction. Velocity, thermal and solutal slips are considered instead of no-slip conditions at the boundary. Stretching velocity, wall temperature and wall concentration are considered in the exponential forms. The non-linear partial differential equations are converted into a system of non-linear ordinary differential equations by similarity transformations. The resultant non-linear ordinary differential equations are solved numerically by fourth order Runge-Kutta method along with shooting technique. The influence of various parameters on the fluid velocity, temperature, concentration, wall skin friction coefficient, the heat transfer coefficient and the Sherwood number have been computed and the results are presented graphically and discussed quantitatively. Comparisons with previously published works are performed on various special cases and are found to be in excellent agreement.

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EFFECTS OF CHEMICAL REACTION AND THERMAL RADIATION ON MHD FLOW OVER AN INCLINED PERMEABLE STRETCHING SURFACE WITH NON-UNIFORM HEAT SOURCE/SINK: AN APPLICATION TO THE DYNAMICS OF BLOOD FLOW

Journal of Mechanics in Medicine and Biology ◽

10.1142/s0219519414500675 ◽

2014 ◽

Vol 14 (05) ◽

pp. 1450067 ◽

Cited By ~ 9

Author(s):

S. SRINIVAS ◽

P. B. A. REDDY ◽

B. S. R. V. PRASAD

Keyword(s):

Differential Equations ◽

Thermal Radiation ◽

Chemical Reaction ◽

Mhd Flow ◽

Velocity Slip ◽

Surface Concentration ◽

Time Dependent ◽

Stretching Surface ◽

Radiation Chemical ◽

Non Linear

An analysis is performed to study the unsteady hydromagnetic heat and mass transfer of blood in a time-dependent porous narrow blood vessel over a permeable inclined stretching surface under slip conditions. The unsteadiness in the flow, temperature and concentration fields is caused by the time dependence of the stretching velocity, surface temperature and the surface concentration. Thermal radiation, chemical reaction, velocity slip, thermal slip and concentration slips are considered. Similarity transformations are used to convert the governing time-dependent non-linear boundary layer equations for momentum, heat equation and species equations into a system of ordinary differential equations. The resulting non-linear coupled differential equations are solved numerically by using fourth order Runge–Kutta scheme together with shooting method. The influence of pertinent parameters on velocity, temperature, concentration, skin-friction coefficient, Nusselt number and Sherwood number has been studied and numerical results are presented graphically and in tabular form. Comparisons with previously published work are performed and the results are found to be in excellent agreement.

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