This study examines the impact of angle optimization on particle inertial focusing within a fluid flow system through numerical simulations. The investigation employs asymmetrically curved channels characterized by circular walls and angled straight walls. Various radii curvature for arc different angles are selected to achieve optimized channel designs analyze trajectories in both power-law Newtonian fluids. takes into account several parameters, including width at baffle (dw), index (n),...

The linear stability of triply diffusive convection in a binary Maxwell fluid saturated porous layer is investigated. Applying the normal mode method theory, criterion for onset stationary and oscillatory obtained. modified Darcy–Maxwell model used as analysis model, this allows us to make thorough investigation processes viscoelasticity diffusions that causes set through rather than stationary. effects Vadasz number, normalized porosity parameter, relaxation Lewis number solute Rayleigh on...

Abstract The transient electro-osmotic flow of a generalized Maxwell fluid with fractional derivative in narrow capillary tube is examined. With the help an integral transform method, analytical expressions are derived for electric potential and velocity profile by solving linearized Poisson-Boltzmann equation Navier-Stokes equation. It was shown that distribution establishment consists two parts, steady part unsteady one. effects relaxation time, parameter, Debye-Hückel parameter on...

On the basis of Darcy-Brinkman model, chaotic convection in a couple stress fluid saturated porous media under gravity modulation is investigated using nonlinear stability analyses. The transition from steady to chaos analysed with effect parameter and modulation. results show that behavior connected critical value Rayleigh number which dependent upon oscillation frequency parameter. If Ω not zero, R increases increase decrease rate heat transfer.

In the present study, oscillatory flow of Maxwell fluid in a long tube with rectangular cross section is considered. The analytical expressions for velocity profile and phase difference are obtained, particularly, singularities exact solution discussed. Furthermore, convenient given explicitly calculations. effects relaxation time Deborah number on discussed numerically graphically.

The electro-osmotic flow of a Maxwell fluid in rectangular curved microchannel driven by an external alternating electric field is numerically investigated this work. Some and stream function results are simulated using the spectral method. combined effects Deborah number, angular frequency, curvature ratio, aspect ratio on behaviors discussed detail. show that number retards diffusion mainstream directional velocity from boundaries to central region. At same time, it enhances secondary...

In the present study, oscillatory flow of a Maxwell fluid in long tube isosceles right triangular cross section is considered. The analytical expressions for velocity and phase difference driven by periodic pressure gradient are obtained explicitly. numerical solutions calculated using high-order compact finite method. effects relaxation time Deborah number on discussed numerically graphically.

The incompressible flow of a Maxwell fluid through curved duct with rectangular cross section is numerically investigated over wide range the Dean number and curvature duct. Unsteady solutions, such as periodic, multi-periodic, chaotic are obtained by using spectral method. combined effects large number, Deborah on behaviors discussed in detail. It found that increasing accelerates occurrence four-cell structure secondary no matter what is. Periodic solutions to appear for case smaller due...

The linear and weakly nonlinear stability of viscoelastic film flowing down a slippery inclined plane is investigated analytically. Under the assumption long wave approximation, first-order Benny equation Oldroyd-B fluid thin with slip condition obtained. Through normal mode analysis, neutral curve temporal growth rates are calculated to explore film. Linear results show that critical Reynolds number decreases increase in length parameter liquid may exhibit pure elastic instability. For both...

The onset of double diffusive convection is investigated in a Maxwell fluid saturated porous layer with internal heat source. modified Darcy law for the used to model momentum equation system, and criterion established through linear nonlinear stability analyses. analysis obtained using normal mode technique, system studied help truncated representation Fourier series. effects Rayleigh number, stress relaxation parameter, normalized porosity, Lewis Vadasz number solute on stationary,...

Abstract The transient electro-osmotic flow of generalized second-grade fluid with fractional derivative in a narrow capillary tube is examined. With the help integral transform method, analytical expressions are derived for electric potential and velocity profile by solving linearized Poisson-Boltzmann equation Navier-Stokes equation. It was shown that distribution establishment consists two parts, steady part unsteady one. effects retardation time, parameter, Debye-Hückel parameter on...

Abstract In this paper, the effect of slip velocity on rotating electro-osmotic flow (EOF) power-law fluid in a non-uniform microchannel under high zeta potential is investigated. The distribution electric double layer obtained by using nonlinear Poisson-Boltzmann equation. By finite difference method, numerical solution EOF profile obtained. effectiveness and correctness present method proven comparing results with analytical solutions Newtonian given previous study. influences behavior...

The long- and finite-wavelength instabilities of weakly viscoelastic film on an oscillating inclined plane are investigated. By using the Chebyshev series solution with Floquet theory, combined effects viscoelasticity forcing amplitude instability described when oscillates in streamwise wall-normal directions. For long-wavelength instability, to eigenvalue problem is obtained analytically by asymptotic expansion method. Results show that exponent independent oscillation amplitude. angle,...

The linear instability of viscoelastic film with insoluble surfactants on an oscillating plane for disturbances arbitrary wavenumbers is investigated. combined effects and the are described using Floquet theory. For long-wavelength instability, solution in limit long wave perturbations obtained by asymptotic expansion method. results show that presence shifts stability boundaries to low-frequency region absence gravity when imposed frequency less than 6. U-shaped neutral curves separation...