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.

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 Marangoni Mixed Convection Boundary Layer Flow in a Nanofluid

2014 ◽  
Vol 9 (2) ◽  
Author(s):  
Amirah Remeli ◽  
Norihan Md Arifin ◽  
Roslinda Nazar ◽  
Fudziah Ismail
Keyword(s):  
Heat Transfer ◽  
Boundary Layer ◽  
Mixed Convection ◽  
Boundary Layer Flow ◽  
Numerical Solutions ◽  
Volume Fraction ◽  
Immiscible Fluids ◽  
Convection Boundary Layer ◽  
Convection Boundary ◽  
Layer Flow

The problem of Marangoni mixed convection boundary layer flow and heat transfer that can be formed along the interface of two immiscible fluids in a nanofluid is studied using different types of nanoparticles. Numerical solutions of the similarity equations are obtained using the shooting method. Three types of metallic or nonmetallic nanoparticles, namely copper (Cu), alumina (23AlO) and titania (2TiO) are consideredby using a water-based fluid to investigate the effect of the solid volume fraction or nanoparticle volume fraction parameter ϕ of the nanofluid. The influences of the interest parameters on the reduced velocity along the interface, velocity profiles as well as the reduced heat transfer at the interface and temperature profiles were presented in tables and figures.

scholarly journals The Effect of Heat Transfer on MHD Marangoni Boundary Layer Flow Past a Flat Plate in Nanofluid

2013 ◽  
Vol 2013 ◽  
pp. 1-6 ◽  
Author(s):  
D. R. V. S. R. K. Sastry ◽  
A. S. N. Murti ◽  
T. Poorna Kantha
Keyword(s):  
Heat Transfer ◽  
Boundary Layer ◽  
Differential Equations ◽  
Boundary Layer Flow ◽  
Numerical Solutions ◽  
Volume Fraction ◽  
Solid Volume Fraction ◽  
Convection Boundary Layer ◽  
Similarity Transformations ◽  
Layer Flow

The problem of heat transfer on the Marangoni convection boundary layer flow in an electrically conducting nanofluid is studied. Similarity transformations are used to transform the set of governing partial differential equations of the flow into a set of nonlinear ordinary differential equations. Numerical solutions of the similarity equations are then solved through the MATLAB “bvp4c” function. Different nanoparticles like Cu, Al2O3, and TiO2 are taken into consideration with water as base fluid. The velocity and temperature profiles are shown in graphs. Also the effects of the Prandtl number and solid volume fraction on heat transfer are discussed.

scholarly journals A study on the mixed convection boundary layer flow and heat transfer over a vertical slender cylinder

2014 ◽  
Vol 18 (4) ◽  
pp. 1247-1258 ◽  
Author(s):  
Rahmat Ellahi ◽  
Arshad Riaz ◽  
Saeid Abbasbandy ◽  
Tasawar Hayat ◽  
Kambiz Vafai
Keyword(s):  
Boundary Layer ◽  
Mixed Convection ◽  
Boundary Layer Flow ◽  
Numerical Solutions ◽  
Nonlinear Problems ◽  
Convection Boundary Layer ◽  
Series Solutions ◽  
Convection Boundary ◽  
Homotopy Analysis ◽  
Layer Flow

In this investigation, the series solutions of mixed convection boundary layer flow over a vertical permeable cylinder are constructed. Two types of series as well numerical solutions are presented by choosing exponential and rational bases. The resulting differential system are solved by employing homotopy analysis method (HAM) and Pade technique which have been proven to be successful in tackling nonlinear problems. We offer various verifications of the solutions by comparing to existing, documented results and also mathematically, through reduction of sundry parameters. The convergence of the series solutions have been discussed explicitly. Comparison with existing results reveal that the series solutions are not only valid for large (aiding flow) but also for small values (opposing flow) of ? and the dual solutions do not obtain in both cases.

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