Based on many previous experiments, the most efficient explicit and stable numerical method to solve heat conduction problems is leapfrog-hopscotch scheme. In our last paper, we made a successful attempt nonlinear conduction–convection–radiation equation. Now, implement convection radiation terms in several ways find optimal implementation. The algorithm versions are tested by comparing their r...

The effect of solar radiation on thermal distribution in thin high arch dams is investigated. The differential equation governing thermal behavior of mass concrete in three-dimensional space is solved applying appropriate boundary conditions. Solar radiation is implemented considering the dam face direction relative to the sun, the slop relative to horizon, the region cloud cover, and the surro...

Non-isothermal stagnation-point flow with consideration of thermal radiation is studied numerically. A set of partial differential equations that governing the fluid flow and energy is converted into a set of ordinary differential equations which is solved by Runge-Kutta method with shooting algorithm. Dimensionless wall temperature gradient and temperature boundary layer thickness for differen...

Investigations of snowcover dynamics beneath vegetation canopies require either measured or estimated solar and thermal radiation values at the snow surface. A deterministic method is presented that uses portable arrays of pyranometers and pyrgeometers to quantify the amount of incoming radiation at the snow surface. Example solar and thermal radiation datasets are presented from boreal deciduo...

‎The problem of two-phase MHD boundary layer flow, heat and mass transfer over a stretching sheet with fluid-particle suspension and thermal radiation has been studied. The effect of mass transfer in dusty fluid over a stretching sheet is considered for the first time. The governing equations are reduced to a set of non-linear ordinary differential equations under suitable similarity transforma...

Human’s disregard to nature and consequently his living environment’s distance from natural endowments and potentials have caused many problems. Human’s living spaces are less desirable for him, and have destroyed his comfort in many cases, as man-made things. In this regard, public open spaces in residential areas can be mentioned because they are usually considered among the most vulnerable s...

This paper deals with the hydrodynamic and thermal analysis of a new type of porous heat exchanger (PHE). This system operates based on energy conversion between gas enthalpy and thermal radiation. The proposed PHE has one high temperature (HT) and two heat recovery (HR1 and HR2) sections. In HT section, the enthalpy of flowing high temperature gas flow that is converted to thermal radiation em...

We study three key topics in this article, including Casson fluid flow at its stagnation point, heat transfer the current magnetic field, and thermal radiation. Several equations related to coupled mass, momentum, energy are controlled by mathematical model. This is accomplished using appropriate transformations dimensionless partial differential of motion, energy, continuity. The Adam-Bashfort...