Unsteady double-diffusive buoyancy-induced flow in a triangular solar collector shape enclosure with corrugated bottom wall

Abstract

Purpose The purpose of this investigation is to determine the nature of the flow field, temperature distribution and heat and mass transfer in a triangular solar collector enclosure with a corrugated bottom wall in the unsteady condition numerically. Design/methodology/approach Non-linear governing partial differential equations (i.e. mass, momentum, energy and concentration equations) are transformed into a system of integral equations by applying the Galerkin weighted residual method. The integration involved in each of these terms is performed using Gauss’ quadrature method. The resulting non-linear algebraic equations are modified by the imposition of boundary conditions. Finally, Newton’s method is used to modify non-linear equations into the linear algebraic equations. Findings Both the buoyancy ratio and thermal Rayleigh number play an important role in controlling the mode of heat transfer and mass transfer. Originality/value Calculations are performed for various thermal Rayleigh numbers, buoyancy ratios and time periods. For each specific condition, streamline contours, isotherm contours and iso-concentration contours are obtained, and the variation in the overall Nusselt and Sherwood numbers is identified for different parameter combinations.

Effects of dissolved solute on unsteady double-diffusive mixed convective flow of a Buongiorno’s two-component nonhomogeneous nanofluid

“…The behavior of the fluid flow driven by a combination of temperature and solute concentration gradients is called double-diffusive convection (Gireesha et al , 2017; Rahman et al , 2017; Moderres et al , 2017; Akbar et al , 2016; Chen et al , 2013). In recent period, double-diffusive convection may appear in a wide range of scientific fields such as biology, oceanology, astrophysics, geology, chemical processes, crystal-growth techniques and the situations in which both the concentration gradient and temperature gradients are in the vertical direction (Subhashini et al , 2011; Mahdy, 2010; Nield and Kuznetsov, 2011).…”

Numerical Investigation of the Double Diffusive Convection in 3D Trapezoidal Solar Still Equipped with Conductive Fins

“…Rahman et al [18,19] studied numerically the transient heat and mass transfer in a triangular solar collector with a focus on the effect of the buoyancy ratio. It was shown that that heat and mass transfer increase by increasing the buoyancy ratio and Rayleigh number.…”

Numerical heat flow visualization analysis on enhanced thermal processing for various shapes of containers during thermal convection

“…Natural convection occurs because of the motion and mixing of fluid, induced by the density variations based on the temperature difference within the fluid. Natural convection has been extensively studied in recent works because of its wide variety in various applications (Siddiqa et al , 2015; Shirvan et al , 2017a, 2017b; Rahman et al , 2017; Oztop et al , 2017; Biswal and Basak, 2017; Sheremet et al , 2018a; Sheremet and Pop, 2018; Gerdroodbary et al , 2018; Chen et al , 2018; Pichandi and Anbalagan, 2018; Revnic et al , 2018; Wang et al , 2018; Ismail et al , 2019; Wong et al , 2019). The fluid flow in natural convection is strongly dependent on the shapes of containers.…”

“…Natural convection in the triangular container was studied extensively for various industrial applications (Joudi et al , 2004; Oztop et al , 2007; Kent et al , 2007; Oztop et al , 2012; Sun and Pop, 2014; Saha and Gu, 2015; Sojoudi et al , 2015; Rahman et al , 2017; Oztop et al , 2017; Das et al , 2018). A few works are explained next.…”