scholarly journals Numerical Solution of the Time-Depending Flow of Immiscible Fluids with Fuzzy Boundary Conditions

2021 ◽  
Vol 6 (5) ◽  
pp. 1315-1330
Author(s):  
Rajesh Kumar Chandrawat ◽  
Varun Joshi
Keyword(s):  
Fluid Flow ◽  
Boundary Conditions ◽  
Newtonian Fluid ◽  
Differential Quadrature Method ◽  
Immiscible Fluids ◽  
Immiscible Fluid ◽  
Velocity Change ◽  
Flow Problems ◽  
Rotation Vectors ◽  
Fuzzy Boundary

Fluid flow modeling using fuzzy boundary conditions is one of the viable areas in biofluid mechanics, drug suspension in pharmacology, as well as in the cytology and electrohydrodynamic analysis of cerebrospinal fluid data. In this article, a fuzzy solution for the two immiscible fluid flow problems is developed, which is motivated by biomechanical flow engineering. Two immiscible fluids, namely micropolar and Newtonian fluid, are considered with fuzzy boundary conditions in the horizontal channel. The flow is considered unsteady and carried out by applying a constant pressure gradient in the X-direction of the channel. The coupled partial differential equations are modeled for fuzzy profiles of velocity and micro-rotation vectors then the numerical results are obtained by the modified cubic B - spline differential quadrature method. The evolution of membership grades for velocity and microrotation profiles has been depicted with the fuzzy boundaries at the channel wall. It is observed that Micropolar fluid has a higher velocity change than Newtonian fluid, and both profiles indicate a declining nature toward the interface.

Weakly-imposed Dirichlet boundary conditions for non-Newtonian fluid flow

2011 ◽  
Vol 166 (17-18) ◽  
pp. 993-1003 ◽  
Author(s):  
M.G.H.M. Baltussen ◽  
Y.J. Choi ◽  
M.A. Hulsen ◽  
P.D. Anderson
Keyword(s):  
Fluid Flow ◽  
Boundary Conditions ◽  
Newtonian Fluid ◽  
Dirichlet Boundary ◽  
Dirichlet Boundary Conditions

NON-NEWTONIAN STOKES FLOW WITH FRICTIONAL BOUNDARY CONDITIONS

2007 ◽  
Vol 12 (4) ◽  
pp. 483-495 ◽  
Author(s):  
Fouad Saidi
Keyword(s):  
Fluid Flow ◽  
Boundary Value Problem ◽  
Boundary Conditions ◽  
Variational Inequalities ◽  
Newtonian Fluid ◽  
Stokes Flow ◽  
Weak Solutions ◽  
Existence And Uniqueness ◽  
Boundary Value

In this work we deal with the boundary value problem for the non‐Newtonian fluid flow with boundary conditions of friction type, mostly by means of variational inequalities. Among others, theorems concerning existence and uniqueness or non‐uniqueness of weak solutions are presented.

scholarly journals High-resolution shock-capturing numerical simulations of three-phase immiscible fluids from the unsaturated to the saturated zone

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Alessandra Feo ◽  
Fulvio Celico
Keyword(s):  
Fluid Flow ◽  
High Resolution ◽  
Capillary Pressure ◽  
Immiscible Fluids ◽  
Shock Capturing ◽  
Immiscible Fluid ◽  
Saturated Zone ◽  
Time Step ◽  
Three Phase ◽  
Sharp Front

AbstractNumerical modeling of immiscible contaminant fluid flow in unsaturated and saturated porous aquifers is of great importance in many scientific fields to properly manage groundwater resources. We present a high-resolution numerical model that simulates three-phase immiscible fluid flow in both unsaturated and saturated zone in a porous aquifer. We use coupled conserved mass equations for each phase and study the dynamics of a multiphase fluid flow as a function of saturation, capillary pressure, permeability, and porosity of the different phases, initial and boundary conditions. To deal with the sharp front originated from the partial differential equations’ nonlinearity and accurately propagate the sharp front of the fluid component, we use a high-resolution shock-capturing method to treat discontinuities due to capillary pressure and permeabilities that depend on the saturation of the three different phases. The main approach to the problem’s numerical solution is based on (full) explicit evolution of the discretized (in-space) variables. Since explicit methods require the time step to be sufficiently small, this condition is very restrictive, particularly for long-time integrations. With the increased computational speed and capacity of today’s multicore computer, it is possible to simulate in detail contaminants’ fate flow using high-performance computing.

scholarly journals Effects of Fuzziness on an MHD Fluid Flow over an Exponentially Accelerated Inclined Plate

2020 ◽  
Vol 8 (6) ◽  
pp. 3784-3790
Keyword(s):  
Fluid Flow ◽  
Boundary Conditions ◽  
Real Life ◽  
Solution Process ◽  
Triangular Fuzzy Number ◽  
Extension Principle ◽  
Governing Equations ◽  
Inclined Plate ◽  
Flow Problems ◽  
Life Phenomena

In most of the time, the real life phenomena are uncertain. Due to the uncertain nature, consideration of some exact values or definite conditions may cause errors in the solution process. The fluid flow problems are also uncertain due to the presence of various imprecise parameters, variables and conditions. Here, an MHD fluid flow over an exponentially accelerated inclined plate is considered in fuzzy environment. Fuzzy set theory (FST) may help to overcome the uncertain nature of the fluid flow problems. The governing equations and the boundary conditions of the considered problem are fuzzified using the extension principle. The fuzzified governing equations along with the fuzzified boundary conditions are solved using the finite difference method (FDM) by developing suitable computer programming code in Python. The values of the different parameters and variables (initial values) are taken as triangular fuzzy number (TFN). −cut technique is used to find the results. The effects of the various involved parameters and on the velocity, temperature and concentration profile are presented graphically and discussed.

scholarly journals Comparison of Computation Period for Some Newtonian Fluid Flow Problems by Elzaki, Sumudu and Laplace Transform

2019 ◽  
Vol 3 (1) ◽  
pp. 48-57
Author(s):  
Muhammad Saqlain ◽  
Sadia Fareed ◽  
Naveed Jafar ◽  
Asma Riffat ◽  
Ghulam Murtaza
Keyword(s):  
Fluid Flow ◽  
Laplace Transform ◽  
Newtonian Fluid ◽  
Transform Method ◽  
Flow Problems ◽  
Sumudu Transform

Newtonian Fluid Flow Problems (NFFPs) of Stokes’ first theorem for suddenly started and suddenly stopped plate are solved by Elzaki Transform Method and the results are identical to those of Laplace Transform and Sumudu Transform. It shows that the said method is very effective due to smaller computation period. The results are verified by graphing the outcome of all the transforms and by calculating their computation period, so that NFFP can be easily solved by Elzaki Transform Method to avoid lengthy calculations.

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