Numerical solutions of Magnetohydrodynamic boundary layer flow of tangent hyperbolic fluid towards a stretching sheet

2013 ◽  
Vol 87 (11) ◽  
pp. 1121-1124 ◽  
Author(s):  
Noreen Sher Akbar ◽  
S. Nadeem ◽  
R. Ul Haq ◽  
Z. H. Khan
Keyword(s):  
Boundary Layer ◽  
Boundary Layer Flow ◽  
Stretching Sheet ◽  
Numerical Solutions ◽  
Tangent Hyperbolic Fluid ◽  
Layer Flow

scholarly journals Exact and Numerical Solutions for MHD Boundary Layer Flow of Casson Fluid Over a Stretching Sheet

2019 ◽  
Vol 9 (1S5) ◽  
pp. 206-211
Keyword(s):  
Magnetic Field ◽  
Boundary Layer ◽  
Boundary Layer Flow ◽  
Stretching Sheet ◽  
Numerical Solutions ◽  
Nonlinear Differential Equations ◽  
Casson Fluid ◽  
Fluid Parameter ◽  
Layer Flow ◽  
Mhd Boundary Layer Flow

The present examination is considered to research the steady, boundary layer flow of Casson fluid over a stretching sheet by taking into consideration of suction and injection effects. External magnetic field which is uniform is act on the present model. In fact the nonlinear differential equations are derived from the present flow by utilizing the appropriate transformations. Thereafter exact and numerical solutions are obtained. Impacts of flow influenced parameters of present study for instance Casson fluid parameter, magnetic parameter, suction and injection are analyzed by means of graphs and tables. After that, numerical outcomes which are get hold of by the convergent technique i.e. fourth order Runge-Kutta method with shooting technique and exact solutions are validated by comparing the existing literature. From this comparison there exist a good correlation between present analysis and literature. The outcomes demonstrate that mainly, velocity of the fluid is diminished for increasing estimations of Casson fluid parameter and impact of parameter of magnetic field.

scholarly journals MHD Mixed Convective Boundary Layer Flow of a Nanofluid through a Porous Medium due to an Exponentially Stretching Sheet

2012 ◽  
Vol 2012 ◽  
pp. 1-21 ◽  
Author(s):  
M. Ferdows ◽  
Md. Shakhaoath Khan ◽  
Md. Mahmud Alam ◽  
Shuyu Sun
Keyword(s):  
Boundary Layer ◽  
Boundary Layer Flow ◽  
Stretching Sheet ◽  
Numerical Solutions ◽  
Skin Friction Coefficient ◽  
Convective Boundary ◽  
Boundary Layer Equations ◽  
Exponentially Stretching Sheet ◽  
Layer Flow ◽  
Exponentially Stretching

Magnetohydrodynamic (MHD) boundary layer flow of a nanofluid over an exponentially stretching sheet was studied. The governing boundary layer equations are reduced into ordinary differential equations by a similarity transformation. The transformed equations are solved numerically using the Nactsheim-Swigert shooting technique together with Runge-Kutta six-order iteration schemes. The effects of the governing parameters on the flow field and heat transfer characteristics were obtained and discussed. The numerical solutions for the wall skin friction coefficient, the heat and mass transfer coefficient, and the velocity, temperature, and concentration profiles are computed, analyzed, and discussed graphically. Comparison with previously published work is performed and excellent agreement is observed.

scholarly journals On the Numerical Analysis of Unsteady MHD Boundary Layer Flow of Williamson Fluid Over a Stretching Sheet and Heat and Mass Transfers

Computation ◽  
2020 ◽  
Vol 8 (2) ◽  
pp. 55 ◽  
Author(s):  
Stanford Shateyi ◽  
Hillary Muzara
Keyword(s):  
Boundary Layer ◽  
Boundary Layer Flow ◽  
Stretching Sheet ◽  
Numerical Solutions ◽  
Weissenberg Number ◽  
Convection Boundary Layer ◽  
Electric Parameter ◽  
Williamson Fluid ◽  
Layer Flow ◽  
Mass Transfers

A thorough and detailed investigation of an unsteady free convection boundary layer flow of an incompressible electrically conducting Williamson fluid over a stretching sheet saturated with a porous medium has been numerically carried out. The partial governing equations are transferred into a system of non-linear dimensionless ordinary differential equations by employing suitable similarity transformations. The resultant equations are then numerically solved using the spectral quasi-linearization method. Numerical solutions are obtained in terms of the velocity, temperature and concentration profiles, as well as the skin friction, heat and mass transfers. These numerical results are presented graphically and in tabular forms. From the results, it is found out that the Weissenberg number, local electric parameter, the unsteadiness parameter, the magnetic, porosity and the buoyancy parameters have significant effects on the flow properties.

Compressibility Effects on the Extended Crocco Relation and the Thermal Recovery Factor in Laminar Boundary Layer Flow

2004 ◽  
Vol 126 (1) ◽  
pp. 32-41 ◽  
Author(s):  
B. W. van Oudheusden
Keyword(s):  
Boundary Layer ◽  
Prandtl Number ◽  
Pressure Gradient ◽  
Boundary Layer Flow ◽  
Numerical Solutions ◽  
Thermal Recovery ◽  
Recovery Factor ◽  
Perturbation Approach ◽  
Layer Flow ◽  
Compressibility Effects

The relation between velocity and enthalpy in steady boundary layer flow is known as the Crocco relation. It describes that for an adiabatic wall the total enthalpy remains constant throughout the boundary layer, when the Prandtl number (Pr) is one, irrespective of pressure gradient and compressibility. A generalization of the Crocco relation for Pr near one is obtained from a perturbation approach. In the case of constant-property flow an analytic expression is found, representing a first-order extension of the standard Crocco relation and confirming the asymptotic validity of the square-root dependence of the recovery factor on Prandtl number. The particular subject of the present study is the effect of compressibility on the extended Crocco relation and, hence, on the thermal recovery in laminar flows. A perturbation analysis for constant Pr reveals two additional mechanisms of compressibility effects in the extended Crocco relation, which are related to the viscosity law and to the pressure gradient. Numerical solutions for (quasi-)self-similar as well as non-similar boundary layers are presented to evaluate these effects quantitatively.

Sign in / Sign up

Export Citation Format

Share Document