Numerical Solutions for Laminar Incompressible Flow Past a Paraboloid of Revolution

AIAA Journal ◽  
1972 ◽  
Vol 10 (9) ◽  
pp. 1224-1230 ◽  
Author(s):  
R.T. DAVIS ◽  
M.J. WERLE
Keyword(s):  
Incompressible Flow ◽  
Numerical Solutions ◽  
Flow Past ◽  
Paraboloid Of Revolution

Steady incompressible flow past a row of circular cylinders

1991 ◽  
Vol 225 ◽  
pp. 655-671 ◽  
Author(s):  
Bengt Fornberg
Keyword(s):  
Reynolds Number ◽  
Incompressible Flow ◽  
Numerical Solutions ◽  
Major Change ◽  
Circular Cylinders ◽  
Two Dimensional ◽  
Single Cylinder ◽  
Flow Past

Numerical solutions are presented for steady two-dimensional incompressible flow past an infinite row of cylinders (of unit radii, with distances W between their centres). The calculations cover R [les ] 700 for 5 [les ] W [les ] ∞ and also R = 800 for 5 [les ] W [les ] 100 (where R denotes the Reynolds number based on the cylinder diameters). The recirculation regions (wake bubbles) are found to grow in length approximately linearly with R in all cases. For high values of R, a major change occurs in their character when W is increased past Wcrit ≈ 16. While they have remained slender up to this point (essentially only stretching in length in proportion to R), their centres of circulation have moved towards their ends. As W is further increased, the wake bubbles widen rapidly, beginning from the rear of the wakes. In the limit of W→∞, the present results agree with the previous ones for a single cylinder as reported by Fornberg (1985).

Steady viscous flow past a sphere at high Reynolds numbers

1988 ◽  
Vol 190 ◽  
pp. 471-489 ◽  
Author(s):  
Bengt Fornberg
Keyword(s):  
Viscous Flow ◽  
Incompressible Flow ◽  
Numerical Solutions ◽  
Reynolds Numbers ◽  
High Reynolds Numbers ◽  
Flow Past ◽  
Spherical Vortex ◽  
High Reynolds ◽  
Flow Past A Sphere

Numerical solutions are presented for steady incompressible flow past a sphere. At high Reynolds numbers (results are presented up to R = 5000), the wake is found to resemble a Hill's spherical vortex.

Oscillatory flow past a circular cylinder in a rotating frame

1997 ◽  
Vol 345 ◽  
pp. 101-131
Author(s):  
M. D. KUNKA ◽  
M. R. FOSTER
Keyword(s):  
Circular Cylinder ◽  
Steady Flow ◽  
Stagnation Point ◽  
Oscillatory Flow ◽  
Numerical Solutions ◽  
Initial Conditions ◽  
Temporal Integration ◽  
Oncoming Flow ◽  
Flow Past ◽  
Rear Stagnation Point

Because of the importance of oscillatory components in the oncoming flow at certain oceanic topographic features, we investigate the oscillatory flow past a circular cylinder in an homogeneous rotating fluid. When the oncoming flow is non-reversing, and for relatively low-frequency oscillations, the modifications to the equivalent steady flow arise principally in the ‘quarter layer’ on the surface of the cylinder. An incipient-separation criterion is found as a limitation on the magnitude of the Rossby number, as in the steady-flow case. We present exact solutions for a number of asymptotic cases, at both large frequency and small nonlinearity. We also report numerical solutions of the nonlinear quarter-layer equation for a range of parameters, obtained by a temporal integration. Near the rear stagnation point of the cylinder, we find a generalized velocity ‘plateau’ similar to that of the steady-flow problem, in which all harmonics of the free-stream oscillation may be present. Further, we determine that, for certain initial conditions, the boundary-layer flow develops a finite-time singularity in the neighbourhood of the rear stagnation point.

Significance of Lorentz Force and Thermoelectric on the Flow of 29 nm CuO–Water Nanofluid on an Upper Horizontal Surface of a Paraboloid of Revolution

2018 ◽  
Vol 141 (2) ◽  
Author(s):  
I. L. Animasaun ◽  
B. Mahanthesh ◽  
A. O. Jagun ◽  
T. D. Bankole ◽  
R. Sivaraj ◽  
...  
Keyword(s):  
Flow Velocity ◽  
Numerical Solutions ◽  
Volume Fraction ◽  
Cross Flow ◽  
Horizontal Surface ◽  
Integration Scheme ◽  
Flowing Fluid ◽  
Paraboloid Of Revolution ◽  
Hall Parameter ◽  
Cross Flow Velocity

Combination of electric and magnetic forces on charged molecules of flowing fluid in the presence of a significant electromagnetic fields on surfaces with a nonuniform thickness (as in the case of upper pointed surface of an aircraft and bonnet of a car which are examples of upper horizontal surfaces of a paraboloid of revolution—uhspr) is inevitable. In this study, the influence of imposed magnetic field and Hall effects on the flow of 29 nm CuO–water nanofluid over such object is presented. Suitable similarity variables were employed to nondimensionalize and parameterize the dimensional governing equation. The numerical solutions of the corresponding boundary value problem were obtained using Runge–Kutta fourth-order integration scheme along with shooting technique. The domain of cross-flow velocity can be highly suppressed when the magnitude of imposed magnetic strength and that of Hall parameter are large. A significant increase in the cross-flow velocity gradient near an upper horizontal surface of the paraboloid of revolution is guaranteed with an increase in the Hall parameter. Enhancement of temperature distribution across the flow is apparent due to an increase in the volume fraction.

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