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EN
A mathematical model is developed to study the characteristics of blood flowing through an arterial segment in the presence of a single and a couple of stenoses. The governing equations accompanied by an appropriate choice of initial and boundary conditions are solved numerically by Taylor Galerkin’s time-stepping equation, and the numerical stability is checked. The pressure, velocity, and stream functions have been solved by Cholesky’s method. Furthermore, an in-depth study of the flow pattern reveals the separation of Reynolds number for the 30 and 50% blockage of single stenosis and 30% blockage of multi-stenosis. The present results predict the excess pressure drop across the stenosis site than it does for the inlet of the artery with single and multiple stenosis and the increase in the velocity is observed at the center of the artery.
EN
The aim of the work was to perform experimental tests for thermal analysis on the outer surface of the radiator. For this purpose, a localized test stand was used in one of the lecture rooms in Kielce University of Technology. The experiment concerned the isothermal character of a radiator during its operation. Temperature distribution was verified with two different methods: thermocouples and thermovision camera. The radiator was divided into 8 measuring fields and temperature was measured in each of them. The experiments were conducted for different supply flow rates of the medium. The results were presented by means of diagrams comparing both methods of temperature survey.
EN
In this article, we examined the solution of a homogeneously intensified isothermal inclined infinite plate with constant temperature. The plate is elevated to Tw, and the species accumulation is enhanced at a consistent speed. Under appropriate boundary conditions, the non-dimensional guiding formulae are remedied using the Laplace transform procedure. The effect of velocity, temperature, and concentration on various factors, including thermal and mass Grashof numbers, Schmidt numbers, and duration, is discussed. The velocity increases proportionally to the thermal and mass Grashof numbers, but decreases as the inclined angle, Schmidt numbers and time increase.
EN
The purpose of the work was to perform experimental tests on a plate heat exchanger. For this purpose, a laboratory test stand located in the hall of the Koszalin University of Technology was used. The experiment concerned checking the isothermal face of a flat panel radiator. Temperature distributions were checked at three board heights and in twelve finite elements. Temperature distribution fields were obtained depending on the flow rates tested.
PL
Celem pracy było wykonanie badań eksperymentalnych na płytowym wymienniku ciepła. W tym celu wykorzystano laboratoryjne stanowisko badawcze zlokalizowane w sali Politechniki Koszalińskiej. Eksperyment dotyczył sprawdzenia izotermicznej powierzchni płaskiego grzejnika płytowego. Rozkłady temperatury sprawdzono na trzech wysokościach płyty i w dwunastu elementach skończonych. W zależności od badanych natężeń przepływu uzyskano pola rozkładu temperatury.
EN
The problem of MHD free convection flow with a parabolic starting motion of an infinite isothermal vertical plate in the presence of thermal radiation and chemical reaction has been examined in detail in this paper. The fluid considered here is a gray, absorbing emitting radiation but a non-scattering medium. The dimensionless governing coupled linear partial differential equations are solved using the Laplace transform technique. A parametric study is performed to illustrate the influence of the radiation parameter, magnetic parameter, chemical reaction parameter, thermal Grashof number, mass Grashof number, Schmidt number and time on the velocity, temperature, concentration. The results are discussed graphically and qualitatively. The numerical results reveal that the radiation induces a rise in both the velocity and temperature, and a decrease in the concentration. The model finds applications in solar energy collection systems, geophysics and astrophysics, aerospace and also in the design of high temperature chemical process systems.
EN
Effects of transfer of mass and free convection on the flow field of an incompressible viscous fluid past an exponentially accelerated vertical plate with variable surface temperature and mass diffusion are studied. Results for velocity, concentration, temperature are obtained by solving governing equations using the Laplace transform technique. It is observed that the velocity increases with decreasing values of the chemical reaction parameter or radiation parameter. But the trend is just reversed with respect to the time parameter. The skin friction is also studied.
EN
A theoretical solution of thermal radiation effects on an unsteady flow past a parabolic starting motion of an infinite isothermal vertical plate with uniform mass diffusion has been studied. The plate temperature as well as the concentration level near the plate are raised uniformly. The dimensionless governing equations are solved using the Laplace-transform technique. The fluid considered here is a gray, absorbing-emitting radiation but a non-scattering medium. The effects of velocity profiles are studied for different physical parameters such as the thermal radiation parameter, thermal Grashof number, mass Grashof number and Schmidt number. It is observed that the velocity increases with increasing values the thermal Grashof number or mass Grashof number. The trend is just reversed with respect to the thermal radiation parameter.
EN
Thermal radiation effects on an unsteady free convective flow of a viscous incompressible flow of a past an exponentially accelerated infinite isothermal vertical plate with uniform mass diffusion in the presence magnetic field are considered. The fluid considered here is a gray, absorbing-emitting radiation but a non-scattering medium. The plate temperature is raised to Tw and the concentration level near the plate is also raised to Cʹw . An exact solution to the dimensionless governing equations is obtained by the Laplace transform method, when the plate is exponentially accelerated with a velocity u= u0 exp(aʹtʹ) in its own plane against gravitational field. The effects of velocity, temperature and concentration fields are studied for different physical parameters such as the magnetic field parameter, thermal radiation parameter, Schmidt number, thermal Grashof number, mass Grashof number and time. It is observed that the velocity increases with decreasing magnetic field parameter or radiation parameter. But the trend is just reversed with respect to a or t .
EN
An exact analysis of rotation effects on an unsteady flow of an incompressible and electrically conducting fluid past a uniformly accelerated infinite isothermal vertical plate, under the action of a transversely applied magnetic field is presented. The plate temperature is raised linearly with time and the concentration level near the plate is also raised to C’w. The dimensionless governing equations are solved using the Laplace-transform technique. The velocity profiles, temperature and concentration are studied for different physical parameters such as the magnetic field parameter, chemical reaction parameter, thermal Grashof number, mass Grashof number, Schmidt number, Prandtl number and time. It is observed that the velocity increases with increasing values of the thermal Grashof number or mass Grashof number. It is also observed that the velocity increases with decreasing values of the magnetic field parameter or rotation parameter Ω.
EN
An exact solution of an unsteady flow past an exponentially accelerated infinite isothermal vertical plate with uniform mass diffusion in the presence of a transverse magnetic field has been studied. The plate temperature is raised to Tw and the species concentration level near the plate is also made to rise Cʹw . The dimensionless governing equations are solved using the Laplace-transform technique. The velocity, temperature and concentration profiles are studied for different physical parameters such as the magnetic field parameter, chemical reaction parameter, thermal Grashof number, mass Grashof number, Schmidt number, time and a. It is observed that the velocity decreases with increasing the magnetic field parameter.
EN
An exact solution of first order chemical reaction effects on a radiative flow past a linearly accelerated infinite isothermal vertical plate with variable mass diffusion, under the action of a transversely applied magnetic field has been presented. The plate temperature is raised linearly with time and the concentration level near the plate is also raised to C'w linearly with time. The dimensionless governing equations are tackled using the Laplace-transform technique. The velocity, temperature and concentration fields are studied for different physical parameters such as the magnetic field parameter, radiation parameter, chemical reaction parameter, thermal Grashof number, mass Grashof number, Schmidt number, Prandtl number and time. It is observed that velocity increases with decreasing magnetic field parameter or radiation parameter. But the trend is just reversed with respect to the chemical reaction parameter.
EN
Thermal radiation effects on unsteady flow past an oscillating semi-infinite isothermal vertical plate with uniform mass flux have been studied. The fluid considered here is a gray, absorbing-emitting radiation but non-scattering medium. The dimensionless governing equations are solved by an efficient, more accurate, and unconditionally stable and fast converging implicit scheme. The effect of velocity and temperature for different parameters like thermal radiation, Schmidt number, thermal Grashof number and mass Grashof number are studied. It is observed that the velocity decreases in the presence of thermal radiation.
EN
An exact solution of unsteady flow past a uniformly accelerated infinite vertical plate with variable temperature and mass diffusion in the presence of thermal radiation is presented here. The dimensionless governing equations are solved using Laplace-transform technique. The velocity profiles, temperature and concentration are studied for different physical parameters like thermal Grashof number, mass Grashof number, radiation parameter, Schmidt number, Prandtl number and time. It is observed that the velocity increases with increasing values of thermal Grashof number or mass Grashof number. But the trend is just reversed with respect to the thermal radiation parameter. It is also observed that there is a fall in plate temperature due to high thermal radiation.
EN
An exact analysis of rotation effects on an unsteady flow of an incompressible and electrically conducting fluid past a uniformly accelerated infinite isothermal vertical plate, under the action of a transversely applied magnetic field is presented. The plate temperature is raised to Tw and the concentration level near the plate is also raised linearly with time. The dimensionless governing equations are solved using the Laplace-transform technique. The velocity profiles, temperature and concentration are studied for different physical parameters such as the thermal Grashof number, mass Grashof number, Schmidt number, Prandtl number and time. It is observed that the velocity increases with increasing the values of the thermal Grashof number or mass Grashof number. It is also observed that the velocity increases with decreasing magnetic field parameter.
EN
A magnetohydrodynamic convective unsteady flow past a uniformly accelerated infinite isothermal vertical plate in the presence of variable mass diffusion is analyzed using the Laplace transform technique. The plate temperature is raised to [...] and the concentration level near the plate is raised linearly with time.The velocity profiles are studied for different physical parameters such as the magnetic field parameter, thermal Grashof number, mass Grashof number and time. It is observed that the velocity increases with increasing values of the thermal Grashof number or mass Grashof number. It is also observed that the velocity increased with decreasing the magnetic field parameter.
EN
A theoretical solution of an unsteady flow past a uniformly accelerated infinite isothermal vertical plate with variable mass diffusion is presented here, taking into account the homogeneous chemical reaction of first order. The plate temperature is raised to [...] and species concentration level near the plate is made to increase linearly with time. The dimensionless governing equations are solved using the Laplace-transform technique. The velocity, temperature and concentration fields are studied for different physical parameters such as the thermal Grashof number, mass Grashof number, Schmidt number, Prandtl number, chemical reaction parameter and time. It is observed that velocity increases with increasing values of the thermal Grashof number or mass Grashof number. It is also observed that velocity increases with decreasing the chemical reaction parameter.
EN
A finite difference solution of MHD and thermal radiation effects on unsteady flow past an impulsively started semi-infinite vertical plate in the presence of homogeneous chemical reaction of first order have been studied. The dimensionless governing equations are solved by an efficient, more accurate, unconditionally stable and fast converging implicit finite difference scheme. The effects of velocity and temperature for different parameters such as the chemical reaction parameter, magnetic field parameter, radiation parameter, Schmidt number, thermal Grashof number, mass Grashof number and time are studied. It is observed that velocity decreases with increasing values of the magnetic field parameter or radiation parameter. It is also observed that due to the presence of first order chemical reaction, velocity increases during generative reaction and decreases in destructive reaction.
EN
Thermal radiation effects on unsteady flow of a viscous incompressible fluid past an exponentially accelerated infinite isothermal vertical plate with uniform mass flux has been studied. The fluid considered here is a gray, absorbing-emitting radiation but a non-scattering medium. The plate temperature is raised to Tw and the concentration level near the plate is also made to be at a constant rate. An exact solution to the dimensionless governing equations has been obtained by the Laplace transform method, when the plate is exponentially accelerated with a velocity […] in its own plane. The velocity, temperature and concentration fields are studied for different physical parameters such as the thermal Grashof number, mass Grashof number, Schmidt number, a and time. It is observed that the velocity increases with increasing values of a or t.
19
EN
A local non-linear stability analysis using the spectral method is made of the Rayleigh-Benard situation in a high-porosity porous medium. The series expansion solution so obtained is valid for a large range of imposed temperature differences and yields a quantitative estimate of the heat transport by convection. Streamline patterns and mean temperature distributions have been obtained. The temperature distributions show that at the middle of the fluid-filled porous layer a layer of isothermal mean temperature develops, thus limiting the major heat transport to thermal boundary layers. The damping nature of porous media on heat transport is also clearly brought out.
EN
The stability of a horizontal fluid layer bounded on either side by porous layers with different permeabilities is examined for different non-uniform basic temperature gradients using general velocity and thermal conditions at the boundaries. In the case of sudden heating and cooling, analytical solutions are obtained using single-term Galerkin expansion. Numerical solutions are obtained for all possible combinations of basic temperature gradients and boundary conditions in respect of velocity and temperature. General conclusion about the thermal depth and the destabilizing effects of the basic temperature gradients are presented. The classical results of free-free, rigid-free and rigid-rigid boundaries with isothermal or adiabatic boundaries are recovered as limiting cases of the present study.
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