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EN
A boundary layer flow of an electrically conducting viscous fluid past a converging channel in the presence of thermophoresis, heat source, chemical reaction, viscous dissipation and simultaneous heat and mass transfer characteristics is studied in the paper. An external magnetic field of uniform strength is applied transversely to the channel. The similarity solution has been used to transform the partial differential equations that represent the problem into a boundary value problem of coupled ordinary differential equations, which in turn are solved numerically using MATLAB’s built in solver bvp4c. Numerical computations are carried out to solve the problem and graphical illustrations are made to get the physical insight of the same. The convergent channel flow problem of an incompressible electrically conducting viscous fluid in the presence of a magnetic field has a wide range of applicability in different areas of engineering, specially in industrial metal casting and control of molten metal flow.
EN
This article presents a two-dimensional steady viscous flow simulation past circular and square cylinders at low Reynolds numbers (based on the diameter) by the finite volume method with a non-orthogonal body-fitted grid. Diffusive fluxes are discretized using central differencing scheme, and for convective fluxes upwind and central differencing schemes are blended using a ‘deferred correction’ approach. A simplified pressure correction equation is derived, and proper under-relaxation factors are used so that computational cost is reduced without adversely affecting the convergence rate. The governing equations are expressed in Cartesian velocity components and solution is carried out using the SIMPLE algorithm for collocated arrangement of variables. The mesh yielding grid-independent solution is then utilized to study, for the very first time, the effect of the Reynolds number on the separation bubble length, separation angle, and drag coefficients for both circular and square cylinders. Finally, functional relationships between the computed quantities and Reynolds number (Re) are proposed up to Re = 40. It is found that circular cylinder separation commences between Re= 6.5-6.6, and the bubble length, separation angle, total drag vary as Re, Re-0.5, Re-0.5 respectively. Extrapolated results obtained from the empirical relations for the circular cylinder show an excellent agreement with established data from the literature. For a square cylinder, the bubble length and total drag are found to vary as Re and Re-0.666, and are greater than these for a circular cylinder at a given Reynolds number. The numerical results substantiate that a square shaped cylinder is more bluff than a circular one.
EN
This investigation analyses a three dimensional flow and mass transfer of a second grade fluid over a porous stretching wall in the presence of suction or injection. The equations governing the flow are attained in terms of partial differential equations. A similarity transformation has been utilized for the transformation of partial differential equations into the ordinary differential equations. The solutions of the nonlinear systems are given by the homotopy analysis method (HAM). A comparative study with the previous results of a viscous fluid has been made. The convergence of the series solution has also been considered explicitly. The influence of admissible parameters on the flows is delineated through graphs and appropriate results are presented. In addition, it is found that instantaneous suction and injection reduce viscous drag on the stretching sheet. It is also shown that suction or injection of a fluid through the surface is an example of mass transfer and it can change the flow field.
EN
Vortex flowmeters are used in numerous branches of industry. This phenomenon is not yet fully understood, due to the unique complexity of the generation and development of vortices. Information on the formation of von Karman vortex path based on the research will result in a consistent image generation and the development of vortices. Calculations of unsteady flow around non-circular body are presented.
5
EN
The Taylor dispersion of a solute is studied for two immiscible viscous fluids flowing between parallel plates. The fluids in both the regions are incompressible and the transport properties are assumed to be constant. The walls of the channel are considered to be isothermal. The closed-form solutions are obtained in both fluids' regions of the channel. The results are presented graphically for various values of pressure gradients, height of the channel, viscosity and diffusivity. The validity of the results obtained from an analytical method for two fluid model is verified by comparison with the available one fluid model results, and good agreement is found.
EN
The propagation of thermoelastic waves in a homogeneous isotropic, thermally conducting plate bordered with layers (or half-spaces) of a viscous fluid on both sides is investigated. The problem has been modeled by employing non classical theory of thermoelasticity to carry the investigation. The secular equations for governing the symmetric and antisymmetric wave motion of the plate, in completely separate terms, are derived. The results in the context of classical conventional coupled and uncoupled theories of thermoelasticity in case of viscous and inviscid fluid loadings have been obtained as particular cases from the present analysis. The regions of the secular equation, waves of short wavelength and waves of long wavelength have also been discussed and deduced. Finally, in order to illustrate the analytical results, the numerical solution is carried out for an aluminum-epoxy composite material plate bordered with layers (or half-spaces) of light and heavy water. The results have been deduced and compared with the existing ones in relevant publications available in the literature at various stages of this work.
EN
Fluid flow and heat transfer of a power law fluid flowing over a wedge, taking into consideration viscous dissipation, in the presence of a magnetic field is investigated. The governing partial differential equations are reduced to ordinary differential equations by the application of group theory. By using quasi-linearization technique, first we linearized the coupled non-linear equations are first linearized, and then solved them numerically by a finite difference method. Numerical solutions for the governing momentum and energy equations are obtained. Results are presented as velocity profiles and temperature profiles for different flow parameters, such as, the magnetic field parameter M, Prandtl number Pr, Eckert number Ec, the flow behavior index n, and the wedge angle parameter m. Variations of heat transfer and skin friction for different values of Ec, Pr, M and m are presented. Heat transfer and skin friction results are compared for various values of the flow behaviour index n governing the nature of the fluid and also for different wedge angles.
8
Content available remote MHD fully developed mixed convection between two long vertical parallel plates
EN
The effect of a transversely applied magnetic field on an MHD fully developed mixed convection between two long vertical parallel plates is studied. Velocity, pressure gradient and bulk-temperature profiles are shown graphically and the effects of different parameters like M (Hartmann number), (buoyancy parameter), (wall temperature difference ratio) on the flow are discussed.
EN
A hydrodynamic viscous incompressible fluid flow through a porous medium between two porous disks rotating with same angular velocity [...] about two non-coincident axes has been studied. An exact solution of the governing equations has been obtained in a closed form. It is found that the primary velocity [...] increases and the secondary velocity [...] decreases with an increase in either the Reynolds number Re or porosity parameter [...]. It is also found that the torque at the disks [...] and [...] decreases with an increase in either [...] or . The heat transfer haracteristic has also been studied on taking viscous dissipation into account. It is found that the rate of heat transfer at both the disks [...] and [...] decreases with an increase in [...].
PL
Przedstawiono równania i numeryczne rozwiązania oscylacji pęcherzyka kawitacyjnego w płynie nieniutonowskim lepkim i lepkosprężystym. Właściwości lepkie płynu opisano modelem potęgowym, a właściwoości lepkosprężyste modelem OWF (Oldroyda-Waltersa-Fridricksona). Uzyskane z obliczeń numerycznych charakterystyki oscylacji pojedynczego pęcherzyka kawitacyjnego różnią się dla cieczy niutonowskiej i nieniutonowskiej. Z przeprowadzonej analizy numerycznej wynika, że lepkość i sprężystość płynu w znaczny sposób ograniczają zjawisko kawitacji. Wskazują na to uzyskane charakterystyki zależności oscylacji prędkości i ciśnienia, wykazujące zmniejszenie amplitudy drgań pęcherzyka wraz ze wzrostem lepkości i sprężystości płynu.
EN
The paper presents the equations and numerical solutions of oscillation of the bubble cavitation in the non-Newtonian viscous fluid and viscoelastic fluid. The properties of viscous liquid were described by the involution model and the viscoelastic properties by the OWF (Oldroyd-Walters-Fridrickson) model. The characteristics of oscillation of a single bubble cavitation obtained from the numerical calculations are different for the Newtonian and non-Newtonian liquids. From the numerical analysis it follows that the viscosity and elasticity of fluid significantly limit the cavitation effect. The characteristics of velocity and pressure oscillation show the reduction of vibration amplitude of a bubble along with the increasing viscosity and elasticity of fluid.
EN
The stability of two superposed couple-stress fluids of uniform densities, permeated with suspended particles, in a porous medium is considered. A stability analysis is carried out and for mathematical simplicity we consider two highly viscous fluids of equal kinematic viscosities and equal couple-stress kinematic viscosities. The system is found to be stable for a potentially stable configuration under certain condition whereas a potentially unstable configuration remains unstable for the couple-stress fluid permeated with suspended particles in a porous medium. The growth rates of perturbation are found to be both increasing (for some wave numbers) and decreasing (for other wave numbers) with the increase in medium permeability.
EN
The work presents the result of studying the influence of surfactants and solid particles concentration in electrorheological fluid (ERF) on the electrorheological characteristics and on the change in the wetting angle in spreading of a drop placed on a horizontally oriented substrate-electrode. The rate of drop spreading and adhesion Wa, the variation of which correlates with the change of rheological characteristics in an electric field were also determined.
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