The purpose of this study is to investigate the influence of an external magnetic field on heat and mass distribution across a moving isothermal sectional surface. The temperature is elevated to ( ) of the plate. The proximity intensity is increased to the concentration of the plate ( ). The study addresses a range of physical factors, including time, velocity profile, temperature, and intensity, as well as thermal Grashof number (Tg), mass Grashof number (Tm), Schmidt number (Sc), and Prandtl number (Pr). The dimensionless equations are addressed using both the Laplace-transform technique and the finite difference method, which is used to analyze the energy, momentum, and concentration equations. The results are illustrated through graphical representations, and the tabular manner to showcase various flow parameters. The results indicate that the velocity increases proportionally with changes in (Tg) and (Tm). As the angle (α) rises, the velocity shows a clear incremental pattern when the magnetic field strength decreases. Local skin friction correlates positively with the angle (α), Sc, and Pr, and negatively with Gr, Gc, and time. The study includes a Nusselt number table for various parameters corresponding to an increase in the Prandtl number, as well as the Sherwood number for different components as the Schmidt number escalates. This work helps us learn more about the complicated interactions between magnetic fields and fluid movement, which is useful for many engineering and science projects.
We look at the viscous free-convective transitional magnetohydrodynamic thermal and mass flow over a plate that is always perforated and standing upright through permeable media while thermal radiation, a thermal source, and a chemical reaction are all going on. There is additional consideration for the Soret effect. The plate receives a normal application of a transversely consistent magnetic field. The magnetic Reynolds number is considerably lower considering the axial applied magnetic field instead of the induced magnetic field. The models that control mass, heat, and fluid flow are turned into two-dimensional shapes, and the answers are found by running numerical simulations using the MATLAB algorithm bvp4c. In realistic circumstances, the outcomes have been illustrated graphically. Several fluid properties have been found to have an impact on velocity, temperature, and concentration profiles. There is noticeable increase in velocity along with the growth of the permeability parameter and Soret number. Other dimensionless parameters have a significant impact on the fluid velocity. Likewise, the temperature profile diminishes as the radiation parameter has increased. The concentration distribution falls as the heat source parameter expands. Also, the analysis is encompassed in tabular form for the shearing stress, Nusselt number, and Sherwood number. The combined knowledge of heat and mass moving through viscous flows can be used to make a wide range of mechanisms and processes. These include biological reactors, therapeutic delivery systems, methods of splitting, aerodynamic aircraft design, and modeling for sustainability. It also optimizes automotive radiators and engine efficiency, and it improves cooling systems.
A detailed study of the erratic circulation around an unbounded inclined plate under fluctuating temperature and isothermal mass dispersion was carried out with a chemical reaction. This work concentrated on the harmonic inclination of the plate in its plane, and the accurate solution of the non-dimensional governing formulations was made possible by the Laplace transform technique. To evaluate their impact on different profiles, the investigation examined a variety of physical factors, including phase inclination, chemical response variable, Schmidt number, thermal Grashof number, mass Grashof number, and duration. Notably, the speed per second increased with decreasing phase angle. Furthermore, a decrease in either the thermal radiation variable or the chemical response variable induced an increase in velocity.
Mathematical model of moisture transport taking into account variable porosity has been investigated numerically. Changes in porosity are caused by dissolution of chemical substances associated with soil skeleton. The finite element solution of the problem in the case of regular rainfall has been found. Program realization of the corresponding algorithms has been implemented in FreeFem++ computational environment. Numerical experiments have been carried out and the impact of rainfall on desalinization of soil with high concentration of salts in the solid component has been determined.
PL
Numerycznie badano model matematyczny transportu wilgoci o zmiennej porowatości. Zmiany porowatości są spowodowane rozpuszczaniem substancji chemicznych związanych ze szkieletem gruntu. Znaleziono numeryczne rozwiązanie problemu w przypadku regularnych opadów. Programowa realizacja odpowiednich algorytmów została zaimplementowana w środowisku obliczeniowym FreeFem++. Przeprowadzono eksperymenty numeryczne i określono wpływ opadów na odsalanie gruntu przy wysokim stężeniu soli w twardym komponencie.
An exact solution and analysis of an initial unsteady two dimensional free convection flow, heat and mass transfer in the presence of thermal radiation along an infinite fixed vertical plate when the plate temperature is instantaneously raised, is presented. The fluid considered is a gray, absorbing emitting radiation but a nonscattering medium. Three cases have been discussed, in particular, namely, (i) when, the plate temperature is instantaneously raised to a higher constant value, (ii) when, the plate temperature varies linearly with time and (iii) when, the plate temperature varies non-linearly with time. A close form general solution for all the cases has been obtained in terms of repeated integrals of error functions. In two particular cases, the solutions in terms of the repeated integrals of error functions have been further simplified to forms containing only error functions. It is observed that for an increase in the radiation parameter N or a decrease in the Grashof number Gr or Gm, there is a fall in the velocity or temperature, but compared to the no radiation case or no diffusing species, there is a rise in the velocity and temperature of the fluid.
W pracy przedstawiono wyniki badań doświadczalnych dotyczących adsorpcji w ziarnach adsorbentu naniesionych na powierzchnię rurki metalowej. Taka konstrukcja jest stosowana w adsorpcyjnych urządzeniach chłodniczych. Badania prowadzono w układzie silikażel – para wodna. Stosowano różne natężenia przepływu fazy gazowej i różne wielkości ziaren. Stwierdzono znaczny wpływ prędkości przepływu fazy gazowej na przebieg procesu.
EN
The experimental study results on adsorption in adsorbent pellets spread directly on a metal pipe surface are presented in the paper. Such construction is used in adsorption chillers. A silica gel - water vapour system was studied. Different gas phase flow rates and different sizes of silica gel pellets were used. It was found that gas phase velocity significantly influenced the process.
The problem of heat and mass transfer in a visco-elastic fluid flow over a stretching sheet in the presence of a uniform magnetic field is examined. The important physical quantities such as the skin friction coefficient, heat transfer co-efficient and the mass transfer co-efficient are determined. It is found that the heat and mass transfer distribution decreases with the increasing values of the visco-elastic parameter k1.
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W artykule wyznaczano maksymalne temperatury osiągane przez ziarna adsorbentu w trakcie pochłaniania składnika mieszaniny gazowej. Do obliczeń wykorzystano trzy modele procesu o różnym stopniu złożoności. Otrzymane wyniki obliczeń porównano z wartościami wyznaczonymi eksperymentalnie. Przeanalizowano wpływ natężenia przepływu gazu na maksymalną temperaturę, jaką osiągają ziarna adsorbentu. Stwierdzono różny kierunek wpływu natężenia przepływu gazu dla ziaren pojedynczych i dla ziaren znajdujących się w złożu.
EN
Maximal temperatures reached by adsorbent pellets during adsorption of a gas mixture component have been determined in this work. Three process models of varying complexity have been used for calculations. The obtained results have been compared with values determined experimentally. The influence of a gas flow rate on the maximal temperature reached by adsorbent pellets was analysed. It was found that this influence is different for single pellets and pellets in a bed.
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A steady three dimensional MHD free convection and mass transfer flow past a semi-infinite surface in the presence of heat generation has been studied numerically for non-Newtonian power law fluids. The governing partial differential equations are reduced to a system of an ordinary differential equation using similarity transformation.
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This paper reports a study of mixed convection heat and mass transfer from a vertical wavy surface embedded in a homogeneous fluid-saturated porous medium using the Forchheimer flow model. The buoyancy effect is due to the variation of temperature and concentration across the boundary layer. We consider the boundary-layer regime where the Péclet number is very lager, […]. Appropriate transformations are employed to transform the governing partial differential equations into the boundary layer equations. The transformed equations have been solved numerically employing the Runge Kutta integration scheme with the shooting technique. Extensive computations are presented for a wide range of wave amplitudes the mixed convection parameter inertial parameter […] the Lewis number and the buoyancy ratio The numerical results illustrating the effects of all previously involved parameters on the velocity profiles[…] temperature […] mass […] the local Nusselt number […] and the local Sherwood number […] are presented and discussed in detail.
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A numerical analysis is carried out to examine the combined heat and mass transfer along with chemical reaction characteristics in a free convective flow over a moving semi-infinite vertical cylinder. The governing equations are solved using an implicit finite difference scheme of Crank-Nicolson type. The effects of the chemical reaction in transient velocity, temperature, concentration, local and average skin-friction, Nusselt number and Sherwood number profiles are illustrated and discussed for various physical parametric values. It is observed that with an increase in the chemical reaction parameter K or the Schmidt number Sc, velocity decreases, but velocity increases with an increasing thermal Grashof number Gr or mass Grashof number Gc. The surface mass transfer strongly depends on the Schmidt number and the chemical reaction and it decreases with their increasing values.