Purpose The purpose of this paper is to study natural convective flow and heat transfer in a sinusoidally heated wavy porous cavity the presence internal generation or absorption. Design/methodology/approach Sinusoidal heating applied on vertical left wall cavity, whereas right cooled at constant temperature. top bottom walls are taken be adiabatic. Darcy model adopted for fluid through medium cavity. governing equations boundary conditions solved using finite difference method over range...

The goal of the present investigation is to explore heater position and tilting angle geometry on a buoyant convective stream energy transport in tilted, curved porous cavity. This work can be utilized field solar panel construction electrical equipment cooling. Since no study has explored impact location an inclined wavy chamber, three locations finite length left sidewall, viz., top, middle, bottom, are explored. through material explained by Darcy model. upper lower walls, as well...

<p>In this paper, we developed a novel numerical method for solving general nonlinear fractional ordinary differential equations (FODEs). First, transformed the FODEs into equivalent Volterra integral equations. We then time-stepping algorithm solution of based on third-order Taylor expansion approximating integrands in chosen mesh with parameter $ h $. This approximation led to implicit algebraic unknowns at each given point, and an iterative Newton's was solve resulting A convergence...

The aim of the present study is to investigate effect moving wall's direction on mixed convective flow and heat transfer in an inclined lid-driven square cavity. Sinusoidal heating applied left wall while right cooled at a constant temperature. bottom top walls are taken be adiabatic. results presented graphically form streamlines, isotherms, velocity profiles, Nusselt numbers understand influence different directions wall, Richardson number, cavity inclination. It observed that field...

The present study investigates numerically the effect of wall inclination a trapezoidal cavity on natural convective flow and heat transfer. is filled with porous medium. Sinusoidal temperature applied inclined opposite maintained at constant temperature. top bottom walls are adiabatic. Darcy model adopted for governing equations solved using finite difference method various values Rayleigh number. transfer square found to be higher than that triangular cavities.

In this paper the solutions some practical problems of cointegration analysis are discussed. We mainly focus on following phases Johansen procedure: baseline model specification, t determination number cointegrating vectors, inclusion determines components and design partial mode This is most commonly used approach analyzing nonstationary macroeconomic time series, due to its complexity simple modeling based computer packages. However, as application statistic packages may be useless when...

<p>In this paper, we proposed a dynamic optimization problem involving two-stage fractional system subjected to both terminal state inequality constraint and continuous constraints in microbial batch process. The objective function was the productivity of 1,3-propanediol at time, while decision variables were initial concentrations biomass glycerol, time We first equivalently transformed with free into one fixed new horizon by applying time-scaling transformation. then converted...

A numerical study on natural convection in an inclined square enclosure with sinusoidal temperature profile the left wall is considered, while right kept constant temperature. The horizontal walls of are adiabatic. governing equations solved by using finite difference method for different Rayleigh numbers and inclination angles. results provided form streamlines, isotherms Nusselt numbers. flow patterns dependent heat transfer increases first then decreases increasing enclosure.

An option is a type of financial derivative that gives its holder the right to buy or sell underlying asset when payoff positive them. Options are most traded in exchanges all over world. Its importance derivatives market has led numerous researches conducted on valuation. Several pricing models have been developed, such as binomial model and Black-Scholes model. The stochastic differential equation values based price at any time option's maturity. European options can be valued by solving...

Views Icon Article contents Figures & tables Video Audio Supplementary Data Peer Review Share Twitter Facebook Reddit LinkedIn Tools Reprints and Permissions Cite Search Site Citation H. T. Cheong, S. Sivasankaran, M. Bhuvaneswari, Z. Siri; Effects of various thermal boundary conditions on natural convection in porous cavities. AIP Conference Proceedings 22 October 2015; 1682 (1): 020007. https://doi.org/10.1063/1.4932416 Download citation file: Ris (Zotero) Reference Manager EasyBib...

The present numerical study investigates natural convective flow and heat transfer in an oblique cavity filled with a heat-absorbing or heat-generating porous medium. sinusoidal temperature is applied on the left wall of while right maintained at lower temperature. bottom top walls are kept to be adiabatic. Darcy model adopted for fluid through governing equations solved using finite difference method various values inclination, internal generation parameter Darcy-Rayleigh number. results...