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B. U. Felderhof - One of the best experts on this subject based on the ideXlab platform.
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Swimming at small Reynolds number of a planar assembly of spheres in an Incompressible Viscous Fluid with inertia
Physics of Fluids, 2017Co-Authors: B. U. FelderhofAbstract:Translational and rotational swimming at small Reynolds numbers of a planar assembly of identical spheres immersed in an Incompressible Viscous Fluid is studied on the basis of a set of equations of motion for the individual spheres. The motion of the spheres is caused by actuating forces and forces derived from a direct interaction potential, as well as hydrodynamic forces exerted by the Fluid as frictional and added mass hydrodynamic interactions. The translational and rotational swimming velocities of the assembly are deduced from momentum and angular momentum balance equations. The mean power required during a period is calculated from an instantaneous power equation. Expressions are derived for the mean swimming velocities and the mean power, valid to second order in the amplitude of displacements from the relative equilibrium positions. Hence these quantities can be evaluated for prescribed periodic displacements. Explicit calculations are performed for three spheres interacting such that they form ...
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Swimming at small Reynolds number of a collinear assembly of spheres in an Incompressible Viscous Fluid with inertia
European Journal of Mechanics - B Fluids, 2017Co-Authors: B. U. FelderhofAbstract:Abstract Swimming at small Reynolds number of a collinear assembly of identical spheres immersed in an Incompressible Viscous Fluid is studied on the basis of a set of equations of motion for the individual spheres. The motion of the spheres is caused by actuating forces and forces derived from a direct interaction potential, as well as hydrodynamic forces exerted by the Fluid as frictional and added mass hydrodynamic interactions. The swimming velocity is deduced from the momentum balance equation for the assembly of spheres, and the mean power required during a period is calculated from an instantaneous power equation. Expressions are derived for the mean swimming velocity and the mean power, valid to second order in the amplitude of displacements from the relative equilibrium positions. Hence these quantities can be evaluated in terms of prescribed periodic displacements. Explicit calculations are performed for a linear chain of three identical spheres.
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Effect of inertia on laminar swimming and flying of an assembly of rigid spheres in an Incompressible Viscous Fluid.
Physical Review E, 2015Co-Authors: B. U. FelderhofAbstract:A mechanical model of swimming and flying in an Incompressible Viscous Fluid in the absence of gravity is studied on the basis of assumed equations of motion. The system is modeled as an assembly of rigid spheres subject to elastic direct interactions and to periodic actuating forces which sum to zero. Hydrodynamic interactions are taken into account in the virtual mass matrix and in the friction matrix of the assembly. An equation of motion is derived for the velocity of the geometric center of the assembly. The mean power is calculated as the mean rate of dissipation. The full range of viscosity is covered, so that the theory can be applied to the flying of birds, as well as to the swimming of fish or bacteria. As an example a system of three equal spheres moving along a common axis is studied.
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Effect of the wall on the velocity autocorrelation function and long-time tail of Brownian motion.
The Journal of Physical Chemistry B, 2005Co-Authors: B. U. FelderhofAbstract:Brownian motion of a particle situated near a wall bounding the Fluid in which it is immersed is affected by the wall. Specifically, it is assumed that an Incompressible Viscous Fluid fills a half-...
T. Ray Mahapatra - One of the best experts on this subject based on the ideXlab platform.
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Heat transfer in oblique stagnation-point flow of an Incompressible Viscous Fluid towards a stretching surface
Heat and Mass Transfer, 2007Co-Authors: T. Ray Mahapatra, S. Dholey, A.s. GuptaAbstract:Steady two-dimensional oblique stagnation-point flow of an Incompressible Viscous Fluid over a flat deformable sheet is investigated when the sheet is stretched in its own plane with a velocity proportional to the distance from the stagnation-point. It is shown that the flow has a boundary layer structure for values of a / c (> 1), where ax +2 by and cx are the x -component of the free stream velocity and the stretching velocity of the plate respectively, x being the distance from the stagnation-point. On the other hand when a / c 0. On the other hand the streamlines become increasingly oblique to the right of the stagnation-point with increase in | b / c | when b
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Heat transfer in oblique stagnation-point flow of an Incompressible Viscous Fluid towards a stretching surface
Heat and Mass Transfer, 2006Co-Authors: T. Ray Mahapatra, S. Dholey, Anadi Sankar GuptaAbstract:Steady two-dimensional oblique stagnation-point flow of an Incompressible Viscous Fluid over a flat deformable sheet is investigated when the sheet is stretched in its own plane with a velocity proportional to the distance from the stagnation-point. It is shown that the flow has a boundary layer structure for values of a/c (> 1), where ax+2by and cx are the x-component of the free stream velocity and the stretching velocity of the plate respectively, x being the distance from the stagnation-point. On the other hand when a/c 0. On the other hand the streamlines become increasingly oblique to the right of the stagnation-point with increase in |b/c| when b < 0. For a fixed value of the Prandtl number Pr, temperature at a point decreases with increase in a/c. Further for a given value of a/c, the surface heat flux increases with increase in Pr.
Anadi Sankar Gupta - One of the best experts on this subject based on the ideXlab platform.
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Heat transfer in oblique stagnation-point flow of an Incompressible Viscous Fluid towards a stretching surface
Heat and Mass Transfer, 2006Co-Authors: T. Ray Mahapatra, S. Dholey, Anadi Sankar GuptaAbstract:Steady two-dimensional oblique stagnation-point flow of an Incompressible Viscous Fluid over a flat deformable sheet is investigated when the sheet is stretched in its own plane with a velocity proportional to the distance from the stagnation-point. It is shown that the flow has a boundary layer structure for values of a/c (> 1), where ax+2by and cx are the x-component of the free stream velocity and the stretching velocity of the plate respectively, x being the distance from the stagnation-point. On the other hand when a/c 0. On the other hand the streamlines become increasingly oblique to the right of the stagnation-point with increase in |b/c| when b < 0. For a fixed value of the Prandtl number Pr, temperature at a point decreases with increase in a/c. Further for a given value of a/c, the surface heat flux increases with increase in Pr.
A.s. Gupta - One of the best experts on this subject based on the ideXlab platform.
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Heat transfer in oblique stagnation-point flow of an Incompressible Viscous Fluid towards a stretching surface
Heat and Mass Transfer, 2007Co-Authors: T. Ray Mahapatra, S. Dholey, A.s. GuptaAbstract:Steady two-dimensional oblique stagnation-point flow of an Incompressible Viscous Fluid over a flat deformable sheet is investigated when the sheet is stretched in its own plane with a velocity proportional to the distance from the stagnation-point. It is shown that the flow has a boundary layer structure for values of a / c (> 1), where ax +2 by and cx are the x -component of the free stream velocity and the stretching velocity of the plate respectively, x being the distance from the stagnation-point. On the other hand when a / c 0. On the other hand the streamlines become increasingly oblique to the right of the stagnation-point with increase in | b / c | when b
S. Dholey - One of the best experts on this subject based on the ideXlab platform.
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Heat transfer in oblique stagnation-point flow of an Incompressible Viscous Fluid towards a stretching surface
Heat and Mass Transfer, 2007Co-Authors: T. Ray Mahapatra, S. Dholey, A.s. GuptaAbstract:Steady two-dimensional oblique stagnation-point flow of an Incompressible Viscous Fluid over a flat deformable sheet is investigated when the sheet is stretched in its own plane with a velocity proportional to the distance from the stagnation-point. It is shown that the flow has a boundary layer structure for values of a / c (> 1), where ax +2 by and cx are the x -component of the free stream velocity and the stretching velocity of the plate respectively, x being the distance from the stagnation-point. On the other hand when a / c 0. On the other hand the streamlines become increasingly oblique to the right of the stagnation-point with increase in | b / c | when b
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Heat transfer in oblique stagnation-point flow of an Incompressible Viscous Fluid towards a stretching surface
Heat and Mass Transfer, 2006Co-Authors: T. Ray Mahapatra, S. Dholey, Anadi Sankar GuptaAbstract:Steady two-dimensional oblique stagnation-point flow of an Incompressible Viscous Fluid over a flat deformable sheet is investigated when the sheet is stretched in its own plane with a velocity proportional to the distance from the stagnation-point. It is shown that the flow has a boundary layer structure for values of a/c (> 1), where ax+2by and cx are the x-component of the free stream velocity and the stretching velocity of the plate respectively, x being the distance from the stagnation-point. On the other hand when a/c 0. On the other hand the streamlines become increasingly oblique to the right of the stagnation-point with increase in |b/c| when b < 0. For a fixed value of the Prandtl number Pr, temperature at a point decreases with increase in a/c. Further for a given value of a/c, the surface heat flux increases with increase in Pr.
