Calculating the Duration of Impact When a Solid Sphere Collides on a Flat Rigid Wall

2021 ◽  
Vol 59 (9) ◽  
pp. 696-699
Author(s):  
Stylianos Vasileios Kontomaris ◽  
Anna Malamou
Keyword(s):  
Rigid Wall ◽  
Solid Sphere

Growth of the Boundary Layer on a Spherical Gas Bubble

1974 ◽  
Vol 41 (4) ◽  
pp. 873-878 ◽  
Author(s):  
J. L. S. Chen
Keyword(s):  
Boundary Layer ◽  
Rigid Wall ◽  
Solid Sphere ◽  
Bubble Surface ◽  
Gas Bubble ◽  
State Boundary ◽  
Initial Discontinuity ◽  
Irrotational Motion ◽  
Flow Changes ◽  
Layer Flow

The unsteady flow of a pure viscous liquid past a gas bubble starting impulsively from rest is investigated theoretically. The Reynolds number is considered to be large so that boundary-layer ideas are applicable, but the bubble is nevertheless so small that it remains nearly spherical under the action of surface tension. This theory describes the growth of boundary layer due to an initial discontinuity in tangential stress at the bubble surface; the results also show how the flow changes from the irrotational motion to the steady-state boundary-layer flow described by Moore. The drag coefficient of the bubble is evaluated from the energy dissipation in the liquid; it is initially finite—by contrast with the case of flow with a boundary layer at a rigid wall, for which it is initially infinite—and, at a given instant, of smaller order than that for a solid sphere.

BEHAVIOR OF A SOLID SPHERE PASSING THROUGH THE INTERFACE BETWEEN STRATIFIED TWO LIQUID LAYERS

1995 ◽  
Vol 2 (4) ◽  
pp. 375-391 ◽  
Author(s):  
Manabu Iguchi ◽  
Katsuhisa Okita ◽  
Fujio Yamamoto ◽  
Tomomasa Uemura
Keyword(s):  
Solid Sphere

scholarly journals Numerical modeling in arterial hemodynamics incorporating fluid-structure interaction and microcirculation

2021 ◽  
Vol 18 (1) ◽  
Author(s):  
Fan He ◽  
Lu Hua ◽  
Tingting Guo
Keyword(s):  
Numerical Modeling ◽  
Shear Stress ◽  
Wall Shear Stress ◽  
Fluid Structure Interaction ◽  
Rigid Wall ◽  
Fluid Structure ◽  
Structure Interaction ◽  
Arterial Hemodynamics ◽  
Wall Compliance ◽  
Wall Shear

Abstract Background The effects of arterial wall compliance on blood flow have been revealed using fluid-structure interaction in last decades. However, microcirculation is not considered in previous researches. In fact, microcirculation plays a key role in regulating blood flow. Therefore, it is very necessary to involve microcirculation in arterial hemodynamics. Objective The main purpose of the present study is to investigate how wall compliance affects the flow characteristics and to establish the comparisons of these flow variables with rigid wall when microcirculation is considered. Methods We present numerical modeling in arterial hemodynamics incorporating fluid-structure interaction and microcirculation. A novel outlet boundary condition is employed to prescribe microcirculation in an idealised model. Results The novel finding in this work is that wall compliance under the consideration of microcirculation leads to the increase of wall shear stress in contrast to rigid wall, contrary to the traditional result that wall compliance makes wall shear stress decrease when a constant or time dependent pressure is specified at an outlet. Conclusions This work provides the valuable study of hemodynamics under physiological and realistic boundary conditions and proves that wall compliance may have a positive impact on wall shear stress based on this model. This methodology in this paper could be used in real model simulations.

scholarly journals Thermal-stress analysis of a damaged solid sphere using hyperbolic two-temperature generalized thermoelasticity theory

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Hamdy M. Youssef ◽  
Alaa A. El-Bary ◽  
Eman A. N. Al-Lehaibi
Keyword(s):  
Mechanical Damage ◽  
Generalized Thermoelasticity ◽  
Solid Sphere ◽  
Thermoelasticity Theory ◽  
Mechanical Waves ◽  
Temperature Parameter ◽  
Thermoelastic Solid ◽  
The One ◽  
Parameter Values ◽  
Two Temperature

AbstractThis work aims to study the influence of the rotation on a thermoelastic solid sphere in the context of the hyperbolic two-temperature generalized thermoelasticity theory based on the mechanical damage consideration. Therefore, a mathematical model of thermoelastic, homogenous, and isotropic solid sphere with a rotation based on the mechanical damage definition has been constructed. The governing equations have been written in the context of hyperbolic two-temperature generalized thermoelasticity theory. The bounding surface of the sphere is thermally shocked and without volumetric deformation. The singularities of the studied functions at the center of the sphere have been deleted using L’Hopital’s rule. The numerical results have been represented graphically with various mechanical damage values, two-temperature parameters, and rotation parameter values. The two-temperature parameter has significant effects on all the studied functions. Damage and rotation have a major impact on deformation, displacement, stress, and stress–strain energy, while their effects on conductive and dynamical temperature rise are minimal. The thermal and mechanical waves propagate with finite speeds on the thermoelastic body in the hyperbolic two-temperature theory and the one-temperature theory (Lord-Shulman model).

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