The fully-developed thermal and hydrodynamic steady laminar pipe flow of the SPTT fluid is here investigated for the constant wall temperature boundary condition, assuming constant properties and negligible axial conduction. Two limiting conditions were identified: the solution pertaining to the equilibrium between axial convection and radial conduction of thermal energy, and the solution of th...

Steady two-dimensional Magneto hydrodynamic free convection flow with thermal radiation in the presence of magnetic field along a vertical flat plate is concerned in the present study. The fluid is taken to be gray, absorbing-emitting radiation. The non-linear governing equations have been transformed by the usual similarity transformation to a system of ordinary differential equations. These d...

We have calculated the radial non-adiabatic p-mode oscillations of the solar models. Based on a statistical theory of non-local convection, both the thermodynamic and kinetic couplings between convection and oscillations are finely treated. The turbulent pressure, turbulent viscosity, turbulent thermal flux and turbulent kinetic flux are all self-consistently included in the equations. The depa...

A conjugate heat transfer for steady two-dimensional mixed convection with magnetic hydrodynamic (MHD) flow of an incompressible quiescent fluid over an unsteady thermal forming stretching sheet has been studied. A parameter, M, which is used to represent the dominance of the magnetic effect has been presented in governing equations. The similar transformation and an implicit finite-difference ...

Carbon dioxide injected into saline aquifers dissolves in the resident brines increasing their density, which might lead to convective mixing. Understanding the factors that drive convection in aquifers is important for assessing geological CO2 storage sites. A hydrodynamic stability analysis is performed for non-linear, transient concentration fields in a saturated, homogenous, porous medium u...

In this paper we compare fully compressible (Meakin & Arnett 2006a,b) and anelastic (Kuhlen, Woosley, & Glatzmaier 2003) simulations of stellar oxygen shell burning. It is found that the two models are in agreement in terms of the velocity scale (vc ∼ 10 7 cm/s) and thermodynamic fluctuation amplitudes (e.g., ρ/〈ρ〉 ∼ 2 × 10) in the convective flow. Large fluctuations (∼11%) arise in the compres...