English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Received: 07/Sept/2018, Accepted:23/Sept/2018, Online: 31/Oct/2018 Abstract The onset of penetrative convection in a variable-viscosity flow bounded by slabs of finite thermal conductivity and finite thickness has been investigated by means of linear stability analysis. The relationship between the viscosity and the temperature is assumed of exponential type. The asymptotic solutions of the long wavelength, for small values of the conductivity and thickness of the solid, are achieved. The values of critical Rayleigh numbers for different values of thermal conductivity ratio and viscosity parameters and, consequently the critical Rayleigh numbers at which the onset of convection starts, are computed analytically. The effects of various parameters (namely, viscosity parameter, thermal conductivity ratio , depth ratio and the presence of internal heat source strength on the onset of stationary convection) are computed analytically and depicted graphically. It is observed that both stabilizing and destabilizing factors can be enhanced because of the presence of a heat source, thermal conductivity ratio, depth ratio, and variable viscosity .As a result, it is possible so that to postpone (or advance) significantly the onset of motion.

international journal of scientific research in mathematical and statistical sciences

Effects of Temperature dependent viscosity on Penetrative Convection in a Fluid Layer Bounded by Slabs of Finite Thermal Conductivity and Finite Thickness