ELECTROHYDRODYNAMIC INSTABILITIES OF ATOMIZATION AND RAYLEIGH REGIMES FOR A DIELECTRIC LIQUID JET EMANATED WITH PARABOLIC VELOCITY PROFILE INTO A STATIONARY DIELECTRIC GAS THROUGH POROUS MEDIUM

2018 ◽  
Vol 9 (4) ◽  
pp. 329-345
Author(s):  
Mohamed F. El-Sayed
Keyword(s):  
Porous Medium ◽  
Velocity Profile ◽  
Dielectric Liquid ◽  
Liquid Jet ◽  
Parabolic Velocity Profile

Instability of a liquid jet of parabolic velocity profile

2000 ◽  
Vol 76 (1) ◽  
pp. 17-21 ◽  
Author(s):  
E.A Ibrahim ◽  
S.O Marshall
Keyword(s):  
Velocity Profile ◽  
Liquid Jet ◽  
Parabolic Velocity Profile

Heat and mass transfer effects on MHD non-Newtonian fluids flow through an inclined thermally-stratified porous medium

2021 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Gladys Tharapatla ◽  
Pamula Rajakumari ◽  
Ramana G.V. Reddy
Keyword(s):  
Mass Transfer ◽  
Porous Medium ◽  
Velocity Profile ◽  
Heat And Mass Transfer ◽  
Newtonian Fluids ◽  
Transfer Effects ◽  
Content Type ◽  
Non Linear ◽  
Homotopy Analysis ◽  
Flow Through

Purpose This paper aims to analyze heat and mass transfer of magnetohydrodynamic (MHD) non-Newtonian fluids flow past an inclined thermally stratified porous plate using a numerical approach. Design/methodology/approach The flow equations are set up with the non-linear free convective term, thermal radiation, nanofluids and Soret–Dufour effects. Thus, the non-linear partial differential equations of the flow analysis were simplified by using similarity transformation to obtain non-linear coupled equations. The set of simplified equations are solved by using the spectral homotopy analysis method (SHAM) and the spectral relaxation method (SRM). SHAM uses the approach of Chebyshev pseudospectral alongside the homotopy analysis. The SRM uses the concept of Gauss-Seidel techniques to the linear system of equations. Findings Findings revealed that a large value of the non-linear convective parameters for both temperature and concentration increases the velocity profile. A large value of the Williamson term is detected to elevate the velocity plot, whereas the Casson parameter degenerates the velocity profile. The thermal radiation was found to elevate both velocity and temperature as its value increases. The imposed magnetic field was found to slow down the fluid velocity by originating the Lorentz force. Originality/value The novelty of this paper is to explore the heat and mass transfer effects on MHD non-Newtonian fluids flow through an inclined thermally-stratified porous medium. The model is formulated in an inclined plate and embedded in a thermally-stratified porous medium which to the best of the knowledge has not been explored before in literature. Two elegance spectral numerical techniques have been used in solving the modeled equations. Both SRM and SHAM were found to be accurate.

On the possibility of the full stabilization of the capillary instability of a dielectric liquid jet by a longitudinal static field

2009 ◽  
Vol 45 (3) ◽  
pp. 193-198 ◽  
Author(s):  
S. O. Shiryaeva ◽  
A. I. Grigor’ev ◽  
M. V. Volkova
Keyword(s):  
Static Field ◽  
Dielectric Liquid ◽  
Liquid Jet ◽  
Capillary Instability

scholarly journals Formation of single charged drops from a dielectric liquid jet in a nonuniform electric field.

1990 ◽  
Vol 16 (4) ◽  
pp. 700-705 ◽  
Author(s):  
Takashi Hibiki ◽  
Manabu Yamaguchi ◽  
Takashi Katayama
Keyword(s):  
Electric Field ◽  
Nonuniform Electric Field ◽  
Dielectric Liquid ◽  
Liquid Jet

Normal‐Mode Propagation Calculations for a Parabolic Velocity Profile

1970 ◽  
Vol 48 (3B) ◽  
pp. 745-752 ◽  
Author(s):  
N. C. Nicholas ◽  
H. Überall
Keyword(s):  
Velocity Profile ◽  
Normal Mode ◽  
Mode Propagation ◽  
Parabolic Velocity Profile

scholarly journals The lift on a small sphere in a slow shear flow

1965 ◽  
Vol 22 (2) ◽  
pp. 385-400 ◽  
Author(s):  
P. G. Saffman
Keyword(s):  
Shear Flow ◽  
Velocity Profile ◽  
Kinematic Viscosity ◽  
Lift Force ◽  
Flow Direction ◽  
Functional Dependence ◽  
Small Sphere ◽  
Translation Velocity ◽  
Parabolic Velocity Profile ◽  
Direction Opposite

It is shown that a sphere moving through a very viscous liquid with velocity V relative to a uniform simple shear, the translation velocity being parallel to the streamlines and measured relative to the streamline through the centre, experiences a lift force 81·2μVa2k½/v½ + smaller terms perpendicular to the flow direction, which acts to deflect the particle towards the streamlines moving in the direction opposite to V. Here, a denotes the radius of the sphere, κ the magnitude of the velocity gradient, and μ and v the viscosity and kinematic viscosity, respectively. The relevance of the result to the observations by Segrée & Silberberg (1962) of small spheres in Poiseuille flow is discussed briefly. Comments are also made about the problem of a sphere in a parabolic velocity profile and the functional dependence of the lift upon the parameters is obtained.

Numerical Study on the Performance of a Tube With Inserted Porous Media of Various Thermal Conductivities

2016 ◽  
Author(s):  
Tariq Amin Khan ◽  
Wei Li
Keyword(s):  
Thermal Conductivity ◽  
Porous Medium ◽  
Porous Media ◽  
Velocity Profile ◽  
Fluid Transport ◽  
Energy Transport ◽  
Numerical Study ◽  
Darcy Number ◽  
Local Thermal Equilibrium ◽  
Working Fluid

Numerical study is performed on the effect of thermal conductivity of porous media (k) on the Nusselt number (Nu) and performance evaluation criteria (PEC) of a tube. Two-dimensional axisymmetric forced laminar and fully developed flow is assumed. Porous medium partially inserted in the core of a tube is investigated under varied Darcy number (Da), i.e., 10−6 ≤ Da ≤ 10−2. The range of Re number used is 100 to 2000 and the conductivity of porous medium is 1.4 to 202.4 W/(m.K) with air as the working fluid. The momentum equations are used to describe the fluid flow in the clear region. The Darcy-Forchheimer-Brinkman model is adopted for the fluid transport in the porous region. The mathematical model for energy transport is based on the one equation model which assumes a local thermal equilibrium between the fluid and the solid phases. Results are different from the conventional thoughts that porous media of higher thermal conductivity can enhance the performance (PEC) of a tube. Due to partial porous media insertion, the upstream parabolic velocity profile is destroyed and the flow is redistributed to create a new fully develop velocity profile downstream. The length of this flow redistribution to a new developed laminar flow depends on the Da number and the hydrodynamic developing length increases with increasing Da number. Moreover, the temperature profile is also readjusted within the tube. The Nu and PEC numbers have a nonlinear trend with varying k. At very low Da number and at a lower k, the Nu number decreases with increasing Re number while at higher k, the Nu number first increases to reach its peak value and then decreases. At higher Re number, the results are independent of k. However, at a higher Da number, the Nu and PEC numbers significantly increases at low Re number while slightly increases at higher Re number. Hence, the change in Nu and PEC numbers neither increases monotonically with k, nor with Re number. Investigation of PEC number shows that at very low Da number (Da = 10−6), inserting porous media of a low k is effective at low Re number (Re ≤ 500) while at high Re number, using porous material is not effective for the overall performance of a tube. However, at a relatively higher Da number (Da = 10−2), high k can be effective at higher Re number. Moreover, it is found that the results are not very sensitive to the inertia term at lower Da number.

TWO-DIMENSIONAL TEMPORAL INSTABILITY OF A VISCOELASTIC LIQUID SHEET OF A PARABOLIC VELOCITY PROFILE

2017 ◽  
Vol 27 (5) ◽  
pp. 423-438
Author(s):  
Run-ze Duan ◽  
Zi-yue Wang ◽  
Zhi-ying Chen ◽  
Lian-sheng Liu
Keyword(s):  
Velocity Profile ◽  
Liquid Sheet ◽  
Viscoelastic Liquid ◽  
Two Dimensional ◽  
Temporal Instability ◽  
Parabolic Velocity Profile
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