The theory of open quantum systems is used to study the local temperature and heat currents in metallic nanowires connected to leads at different temperatures. We show that for ballistic wires the local temperature is almost uniform along the wire and Fourier’s law is invalid. By gradually increasing disorder, a uniform temperature gradient ensues inside the wire and the thermal current linearl...

We present an algorithm for solving stochastic heat equations, whose key ingredient is a non-uniform time discretization of the driving Brownian motion W . For this algorithm we derive an error bound in terms of its number of evaluations of onedimensional components of W . The rate of convergence depends on the spatial dimension of the heat equation and on the decay of the eigenfunctions of the...

In this paper, conjugate heat transfer of magneto hydrodynamic mixed convection of nanofluid about a vertical slender hollow cylinder embedded in a porous medium with high porosity have been numerically studied. The Forchheimer’s modification of Darcy’s law was used in representing the nanofluid motion inside the porous media. The governing boundary layer equations were transformed to non-dimen...

The effects of MHD free convection heat and mass transfer of power-law Non-Newtonian fluids along a stretching sheet with viscous dissipation has been analyzed. This has been done under the simultaneous action of suction, thermal radiation and uniform transverse magnetic field. The stretching sheet is assumed to continuously moving with a power-law velocity and maintaining a uniform surface hea...

A numerical study to investigate the steady laminar natural convection flow in a square cavity with uniformly and non-uniformly heated bottom wall, and adiabatic top wall maintaining constant temperature of cold vertical walls has been performed. A penalty finite element method with bi-quadratic rectangular elements has been used to solve the governing mass, momentum and energy equations. The n...

An investigation is carried out to determine the effect of uniform and non-uniform temperature profiles on single component Darcy-Benard Marangoni (DBM) convection in a composite layer system consisting an incompressible fluid saturated porous top which same with variable heat sources both layers. The upper surface free tension effects depending lower rigid. eigen value, thermal number (TMN) so...

Thermal transducers, which can be interpreted as thermally actuated compliant mechanisms, have found a wide range of applications, due to the reason of accessible source, easy controllability and reliability. During the past decade topology optimization techniques have been developed as efficient tools to design distributed type of complaint mechanisms. The generated results have been accepted ...

The unsteady laminar flow of an incompressible non-Newtonian micropolar fluid impinging on a permeable flat plate with heat transfer by taking into account the viscous dissipation is investigated. A uniform suction or blowing is applied normal to the plate, which is maintained at a constant temperature. Numerical solution for the governing nonlinearmomentum and energy equations is obtained.The ...

in this paper, conjugate heat transfer of magneto hydrodynamic mixed convection of nanofluid about a vertical slender hollow cylinder embedded in a porous medium with high porosity have been numerically studied. the forchheimer’s modification of darcy’s law was used in representing the nanofluid motion inside the porous media. the governing boundary layer equations were transformed to non-dimen...