Solution Of Fluid Flow Research Articles

Exact solution for laminar viscous fluid flow over a contaminated liquid drop placed in a porous region: Magnetohydrodynamics

A uniform, steady, viscous, laminar magnetohydrodynamic (MHD) flow over a fixed partially contaminated liquid drop placed in a porous region is considered. An interfacial slip is assumed on its surface. The drag force with cap angle is obtained analytically. The special case results are consistent with available results in literature. The flow pattern graphs are studied. It is observed that the coefficient of drag values rise in tandem with increases in the slip parameter, viscosity ratio, Hartmann number, and porosity parameter. Compared to viscous flow over a contaminated liquid drop and MHD flow over a contaminated liquid drop without being placed in a porous region, the drag of MHD flow over a contaminated liquid drop planted in a porous region is greater. It can be seen from the flow pattern comparison graph that areas without porous media have free flow, but areas with porous media have enhanced internal circulations and external flow that is extended toward objects.

Exact Solutions to the Oberbeck–Boussinesq Equations for Describing Three-Dimensional Flows of Micropolar Liquids

The article proposes several classes of exact solutions to the Oberbeck–Boussinesq equations to describe convective flows of micropolar fluids. The possibility of using families of exact solutions for convective flows of classical incompressible fluids to micropolar incompressible fluids is discussed. It is shown that the three-dimensional Oberbeck–Boussinesq equation for describing steady and unsteady flows of micropolar fluids satisfies the class of Lin–Sidorov–Aristov exact solutions. The Lin–Sidorov–Aristov ansatz is characterized by a velocity field with a linear dependence on two spatial coordinates. These coordinates are called horizontal or longitudinal. The coefficients of the linear forms of the velocity field depend on the third coordinate (vertical or transverse) and time. The pressure field and the temperature field are described using quadratic forms. Generalizations of the Ostroumov–Birikh class are considered a special case of the Lin–Sidorov–Aristov family for describing unidirectional flows and homogeneous shear flows. An overdetermined system of Oberbeck–Boussinesq equations is investigated for describing non-homogeneous shear flows of non-trivial complex topology in 3D metric space. A compatibility condition is obtained in the Lin–Sidorov–Aristov class. Finally, a class of exact solutions with a vector velocity field that is nonlinear in part of the coordinates is presented in our analysis; such partially invariant solutions correspond to theoretical findings regarding symmetric/asymmetric properties of flow fields in solutions topology in a part of the existence appropriate for symmetry for the obtained invariant solutions.

An analytical solution of MHD non-Newtonian fluid flow over a stretching surface with mixed convection and porous media

An analytical solution of MHD non-Newtonian fluid flow over a stretching surface with mixed convection and porous media

DUFOUR, SORET AND DISSIPATION EFFECTS ON MAGNETOHYDRODYNAMIC FLOW PAST A STRETCHING PERMEABLE SHEET WITH RADIATIVE CHEMICAL REACTION ANDHEAT SOURCE

Present investigation explores the numerical solution of Magnetohydrodynamic laminar steady gray fluid flow with heat and mass transfer past a stretching permeable sheet, incorporating several factors such as heat source, viscous and joules dissipation effects, thermal radiation, chemical reactions, Soret and Dufour effects. The governing nonlinear PDEs are simplified into ODEs with the help of similarity transformations. Momentum equation is solved analytically. Non-Dimensional temperature and concentration calculated with the help of RK- shooting method with Nachtsheim-Swigert iteration method. Key results include the calculation of heat and mass transfer rates and Co-efficient of skin friction. The effects of various parameters such as magnetic field strength, suction, radiation, chemical reactions, internal heat generation and dissipative effects on the flow characteristics and other physical parameters are thoroughly investigated, highlighting their impact on the thermal and concentration profiles in the system. This comprehensive analysis provides insights into the behaviour of the fluid flow under the specified conditions, which can be useful for applications in engineering and industrial processes.

Exact momentum layer and thermal field solutions for the fluid flow due to a moving/deforming Riga plate

Exact momentum layer and thermal field solutions for the fluid flow due to a moving/deforming Riga plate

Addressing performance improvement of a neural network model for Reynolds-averaged Navier–Stokes solutions with high wake formation

PurposeDeep-learning techniques are recently gaining a lot of importance in the field of turbulence. This study focuses on addressing the problem of data imbalance to improve the performance of an existing deep learning neural network to infer the Reynolds-averaged Navier–Stokes solution, proposed by Thuerey et al. (2020), in the cases of airfoils with high wake formation behind them. The model is based on a U-Net architecture, which calculates pressure and velocity solutions for fluid flow around an airfoil.Design/methodology/approachIn this work, we propose various methods for training the model on selectively generated data with different distributions, which would be representative of the under-performing test samples. The property we chose for selectively generating data was the fraction of negative x-velocity in the domain. We have used Grad-CAM to compare the layer activations of different models trained using the proposed methods.FindingsWe observed that using our methods, the average performance on the samples with high wake formation (i.e. flow over airfoils at high angle of attack) has improved. Using one of the proposed methods, an average performance improvement of 15.65% was observed for samples of unknown airfoils compared to a similar model trained using the original method.Originality/valueThis work demonstrates the use of imbalanced learning in the field of fluid mechanics. The performance of the model is improved by giving significance to the distribution of the training data without changes to the model architecture.

Thermal internal resistance minimisation in microchannel heat sink with perforated micro fins geometry

Thermal internal resistance minimisation in microchannel heat sink with perforated micro fins geometry

A thermodynamic computational model analysis of a newly designed Tri-Rotor (T-R) volume air compressor

A thermodynamic computational model analysis of a newly designed Tri-Rotor (T-R) volume air compressor

More accurate solution of mixed convection radiative power law fluid flow over a stretching porous surface with presence of Forchheimer and chemical reaction

In hydraulic analysis, one of the most popular viscosity models for non-Newtonian fluids is the Power Law model. In shear-thinning and shear-thickening, the governing system of partial differential equations is transformed into a system of coupled highly non-linear ordinary differential equations. The effects of emerging parameters on velocities, temperature, and concentration as well as the engineering quantities (friction factor, Nusselt number, and Sherwood number) are presented in tables, graphs, and discussed. Most previous studies do not care about studying the effect of different parameters on stream velocity, and this is one of the advantages of our current study, which can be used by researchers in the future to make comparisons and verify the validity of the solutions. The higher accuracy of fifth-order FDM is tested by comparing it (in the Newtonian case) with previously published works and the results are in excellent agreement with these analytical and numerical works.

Effect of aircraft landing angle on hydrodynamics characteristics during wave landing

Effect of aircraft landing angle on hydrodynamics characteristics during wave landing

An Analysis of the Carreau Fluid Pumping According to the Saffman Slip Condition Using an Asymmetric Direction by Peristaltic Pumps

Hall Effect of the peristalsis pump on a Carreau fluid is analyzed in the Saffman slip boundary conditions at the walls. Asymmetric channel is taken into consideration by wave’s propagation on the channel walls. Long wavelength and low Raynold number assumption an asymmetric into consideration for obtaining the fluid flow solution. The perturbation method is applied for solving the constructed mathematical model and the results are obtained for various characteristics of the fluid. Different graphical representations and comparisons have been examined to discuss various developments of fluid characteristics parameters of interest individually.

A general analytical solution for fluid flow and heat convection through arbitrary-shaped triangular ducts: A variational analysis

This paper presents an analytical solution for fluid flow and heat transfer inside arbitrarily-shaped triangular ducts for the first time. The former analytical solutions are limited to the special case of isosceles triangular ducts. The literature has no report about the analytical solution for the general case of arbitrarily-shaped triangular ducts. Due to the significant role of fluid flow through non-circular channels in industry and the large number of triangular shapes, a method for solving the heat transfer problem for all triangular shapes is needed. The heat transfer of a fluid flow through a channel with an arbitrary triangular cross-section for the case of constant heat flux at the walls is solved in this work for the first time, considering viscous dissipation. Here, the functionals of flow and heat transfer equations are derived, and the resulting Euler-Lagrange equations are solved using the Ritz method. The effect of the duct geometry on the velocity profile and friction coefficient is studied in detail. The effect of the Brinkman number on the temperature distribution and Nusselt number is investigated for both cooling and heating cases. The results reveal that the critical Brinkman Number distinguishes between the cooling and heating cases and represents the critical point at which the Nusselt number approaches infinity. The value of the Nusselt number decreases with the increase of the Brinkman number in both the wall cooling and heating modes. It is also found that the equilateral triangle exhibits the minimum friction coefficient and the maximum value of the Poiseuille number.

A numerical solution for fluid flow in unsaturated porous medium (soil)

We solve the two - dimensional mixed form Kirchhoff transformed Richards equation numerically using Crank - Nicolson scheme. This procedure has been integrated using cylindrical coordinates in an axially symmetric diffusion of flow in a homogeneous, isotropic porous medium.The soil has uniform hydraulic conductivity and no source or sink.The framework is cylindrical with a finite difference structured mesh.This procedure is particularly targeted at infiltration into dry soil, drainage, perched water table and flow through homogeneous materials. However, it is also applicable to any process involving flow through porous medium.The scheme we used is more accurate, comprehensive and is computationally efficient. It may provide a suitable basis for the implementation in large scale.

Analytical solution for unsteady Walters-B fluid flow by a deforming surface with acceleration using OHAM based package BVPh2.0

Current study aims at simulating fluid flow due to a deformable heated surface in an otherwise static viscoelastic fluid obeying Walters-B model. Velocity of the surface is supposed to grow as time from its initiation of motion progress. Simulations in this work are based on the assumption of quadratic surface temperature distribution. Temperature rise attributed to the frictional heating effect is accounted for in the analysis. By choosing appropriate base functions, homotopy solutions are developed for reasonably large values of material fluid parameter. Reliability of the analytical results is established by computing averaged squared residual of the system. The contributions of the surface acceleration and elasticity on the boundary layer formation are enlightened through the plots of velocity components and temperature. Skin friction measuring the stress experienced by the surface is evaluated and examined under different controlling parameters. The paper also presents a numerical solution using NDSolve of MATHEMATICA in a special case of steady flow, and such solution agrees very well with the corresponding homotopy solution.

Thermal and optical investigations of various transparent wall configurations and building integrated photovoltaic for energy savings in buildings

Thermal and optical investigations of various transparent wall configurations and building integrated photovoltaic for energy savings in buildings

Similarity solution of fractional viscoelastic magnetohydrodynamic fluid flow over a permeable stretching sheet with suction/injection

A novel easy‐to‐use similarity technique for spatial fractional partial differential equations is introduced to solve the flow and heat transfer of fractional viscoelastic magnetohydrodynamic (MHD) fluid over a permeable stretching sheet. The proposed method represents a new technique for deriving similarity transformations, which allows the conversion of the fractional partial differential equations to fractional ordinary differential equations. Moreover, using the Grünwald–Letnikov formula, the fourth‐order Runge–Kutta method is adopted here to solve the obtained similarity equations, using the shooting method. The transformed governing equations were found to be dependent on six physical parameters, namely, fractional parameter, magnetic field parameter, generalized local Reynolds number, generalized Prandtl number, the wall suction/injection parameter, and the wall stretching exponential. The results reveal that maximums of the skin friction coefficient and local Nusselt number are obtained for fractional‐order derivative of about 0.5. Moreover, application of a magnetic field on electrically conducting fractional fluid thins the velocity boundary layer and thickens the thermal boundary layer; therefore, the skin friction coefficient increases whereas the local Nusselt number decreases. Furthermore, an increase in any parameters of the local Reynolds number, suction parameter, or the wall stretching exponential leads to thinner boundary layers and higher values of skin friction coefficient and local Nusselt number, whereas imposing injection has opposite effects. Finally, increasing the generalized Prandtl number leads to a thinner thermal boundary layer and higher local Nusselt number for the fractional viscoelastic fluid. It would be of interest to extend the proposed method to other practical problems in the same field.

A multi-resolution DFPM-PD model for efficient solution of FSI problems with structural deformation and failure

A multi-resolution DFPM-PD model for efficient solution of FSI problems with structural deformation and failure

Drag and uncertainty of power-law fluid flows in fractal multiparticle systems

Drag and uncertainty of power-law fluid flows in fractal multiparticle systems

Effect of fracture geometry, topology and connectivity on energy recovery from enhanced geothermal systems

Effect of fracture geometry, topology and connectivity on energy recovery from enhanced geothermal systems

An analytical solution for fluid flow against valve closure in a long pipeline

An analytical solution for fluid flow against valve closure in a long pipeline