scholarly journals Stability of the Blasius boundary layer over a heated plate in a temperature-dependent viscosity flow

2018 ◽  
Vol 3 (11) ◽  
Author(s):  
R. Miller ◽  
S. J. Garrett ◽  
P. T. Griffiths ◽  
Z. Hussain
Keyword(s):  
Boundary Layer ◽  
Heated Plate ◽  
Temperature Dependent ◽  
Temperature Dependent Viscosity ◽  
Blasius Boundary Layer ◽  
Dependent Viscosity

scholarly journals A Novel Numerical Procedure for Simulating Steady MHD Convective Flows of Radiative Casson Fluids over a Horizontal Stretching Sheet with Irregular Geometry under the Combined Influence of Temperature-Dependent Viscosity and Thermal Conductivity

2020 ◽  
Vol 2020 ◽  
pp. 1-20 ◽  
Author(s):  
Abderrahim Wakif
Keyword(s):  
Magnetic Field ◽  
Thermal Conductivity ◽  
Boundary Layer ◽  
Differential Equations ◽  
Stretching Sheet ◽  
Linear Regression Method ◽  
Temperature Dependent ◽  
Temperature Dependent Viscosity ◽  
Convective Flows ◽  
Dependent Viscosity

A novel mathematical computing analysis for steady magnetohydrodynamic convective flows of radiative Casson fluids moving over a nonlinearly elongating elastic sheet with a nonuniform thickness is established successfully in this numerical exploration. Also, the significance of an externally applied magnetic field with space-dependent strength on the development of MHD convective flows of Casson viscoplastic fluids is evaluated thoroughly by including the momentous influence of linear thermal radiation along with the temperature-dependent viscosity and thermal conductivity effects. By combining the assumption of the low-inducing magnetic field with the boundary layer approximations, the governing partial differential equations monitoring the current flow model are transmuted accordingly into a set of nonlinear coupled ordinary differential equations by invoking appropriate similarity transformations. Moreover, these derived differential equations are resolved numerically by utilizing a new innovative GDQLLM algorithm integrating the local linearization technique with the generalized differential quadrature method. On the other hand, the behaviours of velocity and temperature fields are deliberated properly through various graphical illustrations and different sets of flow parameters. However, the accurate datasets generated for the skin friction coefficient and local Nusselt number are presented separately in tabular displays, whose physical insights are discussed comprehensively via the slope linear regression method (SLRM). As main results, it is demonstrated that the higher values of the Casson viscoplastic parameter reduce significantly the fluid velocity within the boundary layer region, while a partial reverse tendency is observed near the stretching sheet as long as the wall thickness parameter is increased. Besides the previously mentioned hydrodynamical features, it is also depicted that the thermal field throughout the medium is enhanced considerably with the elevating values of these parameters.

Creeping axisymmetric plumes with strongly temperature-dependent viscosity

2014 ◽  
Vol 745 ◽  
Author(s):  
Andrew Crosby ◽  
John R. Lister
Keyword(s):  
Boundary Layer ◽  
Thermal Plume ◽  
Temperature Dependent ◽  
Temperature Dependent Viscosity ◽  
Boundary Layer Equations ◽  
Vertical Heat ◽  
Rate Of Decay ◽  
Vertical Heat Flux ◽  
Dependent Viscosity ◽  
Good Agreement

AbstractThe structure of a steady axisymmetric thermal plume rising through a very viscous fluid with strongly temperature-dependent viscosity of the form $\mu \propto \exp (-\gamma T)$ is investigated. An analytic asymptotic solution is derived for the fast-flowing core of the plume, which predicts that the excess centreline temperature decays exponentially as $\exp \{ - 12 \pi \kappa z/(\gamma A) \}$, where $\kappa $ is the thermal diffusivity, $z$ the height and $A$ the vertical heat flux. This rate of decay, which is found to be in good agreement with numerical simulations of the boundary-layer equations, is three times faster than that predicted by the oft-quoted model of Olson, Schubert and Anderson (J. Geophys. Res., vol. 98 (B4), 1993, pp. 6829–6844).

Sign in / Sign up

Export Citation Format

Share Document