Stagnation-Point Flow and Heat Transfer of a Casson Fluid towards a Stretching Sheet

This article reports the flow of a Casson fluid in the region of stagnation-point towards a stretching sheet. The characteristics of heat transfer with viscous dissipation are also analyzed. The partial differential equations representing the flow and heat transfer of the Casson fluid are reduced to ordinary differential equations through suitable transformations. The flow is therefore governed by the Casson fluid parameter β, the ratio of the free stream velocity to the velocity of the stretching sheet a=c, the Prandtl number Pr, and the Eckert number Ec. The analytic solutions in the whole spatial domain have been computed by the homotopy analysis method (HAM). The dimensionless expressions for the skin friction coefficient and the local Nusselt number have been calculated and discussed.

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MHD Stagnation Point Flow and Heat Transfer Over a Stretching Sheet in a Blood-Based Casson Ferrofluid With Newtonian Heating

Journal of Advanced Research in Fluid Mechanics and Thermal Sciences ◽

10.37934/arfmts.82.1.111 ◽

2021 ◽

Vol 82 (1) ◽

pp. 1-11

Author(s):

Muhammad Khairul Anuar Mohamed ◽

Siti Hanani Mat Yasin ◽

Mohd Zuki Salleh ◽

Hamzeh Taha Alkasasbeh

Keyword(s):

Heat Transfer ◽

Stagnation Point ◽

Stretching Sheet ◽

Volume Fraction ◽

Mhd Flow ◽

Casson Fluid ◽

Skin Friction Coefficient ◽

Newtonian Heating ◽

Linear Partial Differential Equations ◽

Flow And Heat Transfer

The present study investigated the magnetohydrodynamic (MHD) flow and heat transfer on a stagnation point past a stretching sheet in a blood-based Casson ferrofluid with Newtonian heating boundary conditions. The ferrite Fe3O4 and cobalt ferrite CoFe2O4 ferroparticles suspended into Casson fluid represent by human blood to form blood-based Casson ferrofluid are numerically examined. The mathematical model for Casson ferrofluid which is in non-linear partial differential equations are first transformed to a more convenient form by similarity transformation approach then solved numerically by using the Runge-Kutta-Fehlberg (RKF45) method. The characteristics and effects of the stretching parameter, the magnetic parameter, the Casson parameter and the ferroparticle volume fraction for Fe3O4 and CoFe2O4 on the variation of surface temperature and the reduced skin friction coefficient are analyzed and discussed. It is found that the blood-based Casson ferrofluid provided up to 46% higher in temperature surface compared to blood-based fluid with the presence of magnetic effects.

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Stagnation-Point Flow over an Exponentially Shrinking/Stretching Sheet

Zeitschrift für Naturforschung A ◽

10.5560/zna.2011-0037 ◽

2011 ◽

Vol 66 (12) ◽

pp. 705-711 ◽

Cited By ~ 2

Author(s):

Sin Wei Wong ◽

Abu Omar Awang ◽

Anuar Ishak

Keyword(s):

Differential Equations ◽

Stagnation Point ◽

Stretching Sheet ◽

Free Stream ◽

Stagnation Point Flow ◽

Stream Velocity ◽

Heat Transfer Characteristics ◽

Keller Box Method ◽

Flow And Heat Transfer ◽

Box Method

The steady two-dimensional stagnation-point flow of an incompressible viscous fluid over an exponentially shrinking/stretching sheet is studied. The shrinking/stretching velocity, the free stream velocity, and the surface temperature are assumed to vary in a power-law form with the distance from the stagnation point. The governing partial differential equations are transformed into a system of ordinary differential equations before being solved numerically by a finite difference scheme known as the Keller-box method. The features of the flow and heat transfer characteristics for different values of the governing parameters are analyzed and discussed. It is found that dual solutions exist for the shrinking case, while for the stretching case, the solution is unique.

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Three-Dimensional Stagnation-Point Flow and Heat Transfer of a Dusty Fluid Toward a Stretching Sheet

Journal of Heat Transfer ◽

10.1115/1.4033614 ◽

2016 ◽

Vol 138 (11) ◽

Cited By ~ 9

Author(s):

M. R. Mohaghegh ◽

Asghar B. Rahimi

Keyword(s):

Heat Transfer ◽

Differential Equations ◽

Ordinary Differential Equations ◽

Stagnation Point ◽

Similarity Solution ◽

Stretching Sheet ◽

Three Dimensional ◽

Stagnation Point Flow ◽

Velocity Parameter ◽

Flow And Heat Transfer

The steady three-dimensional stagnation-point flow and heat transfer of a dusty fluid toward a stretching sheet is investigated by using similarity solution approach. The freestream along z-direction impinges on the stretching sheet to produce a flow with different velocity components. The governing equations are transformed into ordinary differential equations by introducing appropriate similarity variables and an exact solution is obtained. The nonlinear ordinary differential equations are solved numerically using Runge–Kutta fourth-order method. The effects of the physical parameters like velocity ratio, fluid and thermal particle interaction parameter, ratio of freestream velocity parameter to stretching sheet velocity parameter, Prandtl number, and Eckert number on the flow field and heat transfer characteristics are obtained, illustrated graphically, and discussed. Also, a comparison of the obtained numerical results is made with two-dimensional cases existing in the literature and good agreement is approved. Moreover, it is found that the heat transfer coefficient and shear stress on the surface for axisymmetric case are larger than nonaxisymmetric case. Also, for stationary flat plat case, a similarity solution is presented and a comparison of the obtained results is made with previously published results and full agreement is reported.

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Effects of Thermocapillarity and Thermal Radiation on Flow and Heat Transfer in a Thin Liquid Film on an Unsteady Stretching Sheet

Mathematical Problems in Engineering ◽

10.1155/2012/127320 ◽

2012 ◽

Vol 2012 ◽

pp. 1-14 ◽

Cited By ~ 10

Author(s):

R. C. Aziz ◽

I. Hashim ◽

S. Abbasbandy

Keyword(s):

Heat Transfer ◽

Differential Equations ◽

Thermal Radiation ◽

Stretching Sheet ◽

Thin Liquid Film ◽

Unsteady Stretching Sheet ◽

Flow And Heat Transfer ◽

Homotopy Analysis ◽

Dependent Parameter ◽

Layer Flow

This paper examines the effects of thermocapillarity and thermal radiation on the boundary layer flow and heat transfer in a thin film on an unsteady stretching sheet with nonuniform heat source/sink. The governing partial differential equations are converted into ordinary differential equations by a similarity transformation and then are solved by using the homotopy analysis method (HAM). The effects of the radiation parameter, the thermocapillarity number, and the temperature-dependent parameter in this study are discussed and presented graphically via velocity and temperature profiles.

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Melting heat transfer in boundary layer stagnation-point flow of a nanofluid towards a stretching–shrinking sheet

Canadian Journal of Physics ◽

10.1139/cjp-2013-0508 ◽

2014 ◽

Vol 92 (12) ◽

pp. 1703-1708 ◽

Cited By ~ 14

Author(s):

Kishore Kumar Ch. ◽

Shankar Bandari

Keyword(s):

Heat Transfer ◽

Differential Equations ◽

Stagnation Point ◽

Skin Friction Coefficient ◽

Stagnation Point Flow ◽

Shrinking Sheet ◽

Shooting Technique ◽

Similarity Transformations ◽

Flow And Heat Transfer ◽

Fourth Order Method

The present analysis deals with the study of two-dimensional stagnation-point flow and heat transfer from a warm, laminar liquid flow of a nanofluid towards a melting stretching sheet. Using similarity transformations, the governing differential equations were transformed into coupled, nonlinear ordinary differential equations, which were then solved numerically by using the Runge–Kutta fourth-order method along with the shooting technique for two types of nanoparticles namely copper (Cu) and silver (Ag) in the water-based fluid with Prandtl number Pr = 6.2, the skin friction coefficient, the local Nusselt number, the velocity and the temperature profiles are presented graphically and discussed.

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Analytical solution to stagnation-point flow and heat transfer over a stretching sheet based on homotopy analysis

Applied Mathematics and Mechanics ◽

10.1007/s10483-009-0407-2 ◽

2009 ◽

Vol 30 (4) ◽

pp. 463-474 ◽

Cited By ~ 20

Author(s):

Jing Zhu ◽

Lian-cun Zheng ◽

Xin-xin Zhang

Keyword(s):

Heat Transfer ◽

Analytical Solution ◽

Stagnation Point ◽

Stretching Sheet ◽

Stagnation Point Flow ◽

Flow And Heat Transfer ◽

Homotopy Analysis

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Analytical Solution of MHD Stagnation-Point Flow and Heat Transfer of Casson Fluid over a Stretching Sheet with Partial Slip

ISRN Thermodynamics ◽

10.1155/2013/108264 ◽

2013 ◽

Vol 2013 ◽

pp. 1-9 ◽

Cited By ~ 19

Author(s):

Samir Kumar Nandy

Keyword(s):

Heat Transfer ◽

Differential Equations ◽

Stagnation Point ◽

Velocity Slip ◽

Casson Fluid ◽

Temperature Fields ◽

Partial Slip ◽

Thermal Slip ◽

Slip Parameter ◽

Flow And Heat Transfer

This paper investigates the hydromagnetic boundary layer flow and heat transfer of a non-Newtonian Casson fluid in the neighborhood of a stagnation point over a stretching surface in the presence of velocity and thermal slips at the boundary. The governing partial differential equations are transformed into nonlinear ordinary differential equations using similarity transformations. The analytic solutions are developed by a homotopy analysis method (HAM). The results pertaining to the present study indicate that the flow and temperature fields are significantly influenced by Casson parameter (), the magnetic parameter , the velocity slip parameter , and the thermal slip parameter . An increase in the velocity slip parameter causes decrease in the flow velocity, while an increase in the value of the thermal slip parameter causes increase in the temperature of the fluid. It is also observed that the velocity at a point decreases with increase in .

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Unsteady Stagnation Point Flow and Heat Transfer over a Stretching/Shrinking Sheet with Suction or Injection

Journal of Applied Mathematics ◽

10.1155/2012/781845 ◽

2012 ◽

Vol 2012 ◽

pp. 1-12 ◽

Cited By ~ 6

Author(s):

M. Suali ◽

N. M. A. Nik Long ◽

N. M. Ariffin

Keyword(s):

Heat Transfer ◽

Differential Equations ◽

Stagnation Point ◽

Similarity Transformation ◽

Skin Friction Coefficient ◽

Dual Solutions ◽

Stagnation Point Flow ◽

Shrinking Sheet ◽

Flow And Heat Transfer ◽

Suction Or Injection

The unsteady stagnation point flow and heat transfer over a stretching/shrinking sheet with suction/injection is studied. The governing partial differential equations are converted into nonlinear ordinary differential equations using a similarity transformation and solved numerically. Both stretching and shrinking cases are considered. Results for the skin friction coefficient, local Nusselt number, velocity, and temperature profiles are presented for different values of the governing parameters. It is found that the dual solutions exist for the shrinking case, whereas the solution is unique for the stretching case. Numerical results show that the range of dual solutions increases with mass suction and decreases with mass injection.

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