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Jul 28, 2023Open Access
This research work focuses on the analysis of a steady fluid of a convection mixed flow within a permeable channel under the influence of suction and injection parameters. The fluid is presumed to be incompressible, and an existing model was used to formulate the governing equations with appropriate boundary conditions. The governing equations directing the flow system are modeled, non-dimensionalized, and transformed into ordinary differential equations where appropriate methods were used to so...
May 30, 2022Open Access
Studies concerning induced heat transfer by the condensation in forced convection of a thin film of a saturated vapor in medium porous, have received particular attention because of their numerous applications in various fields of technology. Thus, the presence of a layer of porous material on a plane wall generates an increase in heat transfer compared with that observed for a flat plate, subject to the same aeraulic and thermal conditions. This prompted us, given the large field of application...
Oct 28, 2021Open Access
The analysis of nanofluids in the solar thermal system is very fascinating owing to its important engineering applications (i.e., solar collectors). Aside from these the non-Newtonian boundary layer fluid flow has experienced considerable attention due to uprising engineering applications in the solar thermal field. This work investigates the analysis of chemically reactive hydromagnetic Maxwell fluid conveying tiny particles due to Navier partial slip. The governing equations that model the tra...
Oct 30, 2020Open Access
In this paper, we discuss the assumptions, the balances, and the constitutive relationships in order to provide a set of tools for the mathematical modeling of a geothermal system. In particular, we present a model for pressure and saturation supposing that: 1) the geothermal fluid flows in a porous medium, 2) it is composed of pure water, 3) the simultaneous presence of the gaseous (vapor) and liquid phases occurs, and 4) the effects of capillarity action can be introduced.
May 19, 2020Open Access
This article focuses on how to control the pressure in the high-pressure tubing. First, an overall analysis of the system is performed to determine the pressure balance conditions of the high-pressure fuel pipe; that is, the mass of fuel flowing out of the high-pressure fuel pipe is equal to the mass of fuel flowing in. This article uses Excel to fit and organize the data in all data processing. When solving differential equations of pressure and density, the fourth-order Runge-Kutta formula is ...
May 18, 2020Open Access
This paper is based on the background of China Undergraduate Mathematical Contest in Modeling Competition A in 2019. Corresponding analysis based on the data given in this question, calculated changes in pressure in the high-pressure tubing according to the different operating conditions for fuel entry and spewing out, in order to determine some operating parameters of the fuel injection system, so as to improve engine efficiency and economic efficiency. The differential equation is constructed ...
Feb 28, 2020Open Access
This paper presents pressure variation in fluid flow over a porous media. In the model, we considered water as an incompressible fluid: the flow as nonsteady and uniform. We derived an equation for the nonuniform bottom topography (flow depth) and substituted into the governing equation for shallow water flow with nonuniform bottom topography. We made use of Darcy’s law to construct equation for Darcy flux, which in turn related pressure gradient to the flow ve ...
Jan 31, 2019Open Access
In this paper, we mainly study the existence and uniqueness of solutions and the asymptotic behavior of solutions for three-dimensional globally modified Bénard systems with delays under local Lipschitz conditions.
Jun 08, 2018Open Access
The objective of this study is to consider the flow of temperature dependent viscosity and thermal conductivity of free convective heat and mass transfer of viscoelastic fluid over a stretching surface with nth order of chemical reaction and thermophoresis. The effect of the temperature dependent dynamic viscosity and thermal conductivity together with modified thermal and solutal Grashof numbers are properly ...
Feb 12, 2018Open Access
In several areas of
engineering, it is
possible to put real problems in mathematical functions; when we represent a problem with variables in the
form of function, we were
able to extract various information from it. This paper compared two different
mathematical methods, being the finite difference method and the Fourth Order
Range-Kutta method, to analyze the concentration and temperature of ...
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