Fluids in Motion
... • Define the rate of flow for a fluid and solve problems using velocity and crosssection. • Write and apply Bernoulli’s equation for the general case and apply for (a) a fluid at rest, (b) a fluid at constant pressure, and (c) flow through a horizontal pipe. ...
... • Define the rate of flow for a fluid and solve problems using velocity and crosssection. • Write and apply Bernoulli’s equation for the general case and apply for (a) a fluid at rest, (b) a fluid at constant pressure, and (c) flow through a horizontal pipe. ...
Control volume analysis (Part 2) Linear Momentum Equations
... 5. If the CS is selected so that it is perpendicular to the flow where fluid enters or leaves the CV, the surface force exerted at these locations by fluid outside the CV on fluid inside will be due to pressure. Furthermore, when subsonic flow exits from a control volume into the atmosphere, atmosph ...
... 5. If the CS is selected so that it is perpendicular to the flow where fluid enters or leaves the CV, the surface force exerted at these locations by fluid outside the CV on fluid inside will be due to pressure. Furthermore, when subsonic flow exits from a control volume into the atmosphere, atmosph ...
Lecture 15: The energetics of the ocean circulation
... •A correlation develops between the eddy’s modification of isopycnal thickness and velocity Net transport along an isopycnal per unit length EDDY-INDUCED TRANSPORT ...
... •A correlation develops between the eddy’s modification of isopycnal thickness and velocity Net transport along an isopycnal per unit length EDDY-INDUCED TRANSPORT ...
Control surface Control Volume
... Diameter of the jet is 6 cm. Speed of the fluid jet is 20 m/s, relative to a fixed frame. What components of force are exerted on the vane by the water in the x and y directions? Assume negligible friction between the water and the vane. ...
... Diameter of the jet is 6 cm. Speed of the fluid jet is 20 m/s, relative to a fixed frame. What components of force are exerted on the vane by the water in the x and y directions? Assume negligible friction between the water and the vane. ...
Dimensional Analysis and Hydraulic Similitude
... It indicates that the tangential velocity varies inversely with distance from the origin with becomes infinite at origin r 0 . A vortex motion may be ‘rotational or irrotational’ depending on the orientation of fluid element in the flow field. The irrotational vortex will occur when the fluid e ...
... It indicates that the tangential velocity varies inversely with distance from the origin with becomes infinite at origin r 0 . A vortex motion may be ‘rotational or irrotational’ depending on the orientation of fluid element in the flow field. The irrotational vortex will occur when the fluid e ...
1 The basic equations of fluid dynamics
... At a microscopic scale, fluid comprises individual molecules and its physical properties (density, velocity, etc.) are violently non-uniform. However, the phenomena studied in fluid dynamics are macroscopic, so we do not usually take this molecular detail into account. Instead, we treat the fluid as ...
... At a microscopic scale, fluid comprises individual molecules and its physical properties (density, velocity, etc.) are violently non-uniform. However, the phenomena studied in fluid dynamics are macroscopic, so we do not usually take this molecular detail into account. Instead, we treat the fluid as ...
![L 15 Fluids [4] Bernoulli`s principle WIND](http://s1.studyres.com/store/data/016758540_1-efd75f7a7777372eeb0885c6e88a0e4b-300x300.png)
A Review of the Morison Equation for Calculating
... (For the present discussion, we shall assume that each process can be described by a single dominant trigonometric term; in reality, multiple harmonics are involved.) The net flow velocity vector may exhibit large fluctuations in both direction and magnitude. If the flow separates, forming a wake of ...
... (For the present discussion, we shall assume that each process can be described by a single dominant trigonometric term; in reality, multiple harmonics are involved.) The net flow velocity vector may exhibit large fluctuations in both direction and magnitude. If the flow separates, forming a wake of ...
16-6 The Equation of Continuity
... Viscosity acts like a drag or frictional force; it slows flow speed relative to a surface. ...
... Viscosity acts like a drag or frictional force; it slows flow speed relative to a surface. ...
Problem Set #1 - Purdue College of Engineering
... 3. Salt water exits a 1cm by 1cm square hole at a speed of 2cm/s. The salt content is 0.2% by weight. What is the mass flow rate of salt coming out the hole (ie. gm/sec) ? 4. Given a velocity field u 2 xe x 3 ye y Kze z , where K is some constant and velocities are measured in m/s. Find the ra ...
... 3. Salt water exits a 1cm by 1cm square hole at a speed of 2cm/s. The salt content is 0.2% by weight. What is the mass flow rate of salt coming out the hole (ie. gm/sec) ? 4. Given a velocity field u 2 xe x 3 ye y Kze z , where K is some constant and velocities are measured in m/s. Find the ra ...
202 DragMoment
... in a narrow boundary layer surrounding the surface of the body and that the viscosity may be ignored in the free fluid outside this layer." Schlichting [1960] says (p.29) that "...This physical picture suggests that the field of flow in the case of fluids of small viscosity can be divided, for the p ...
... in a narrow boundary layer surrounding the surface of the body and that the viscosity may be ignored in the free fluid outside this layer." Schlichting [1960] says (p.29) that "...This physical picture suggests that the field of flow in the case of fluids of small viscosity can be divided, for the p ...
Transport Phenomena 3
... • Where δ is the unit tensor with components δij, v is the velocity gradient tensor with components / xi j ,(v) is the transpose of the velocity gradient tensor with components / xi j , and (.v) is the divergence of the velocity vector. ...
... • Where δ is the unit tensor with components δij, v is the velocity gradient tensor with components / xi j ,(v) is the transpose of the velocity gradient tensor with components / xi j , and (.v) is the divergence of the velocity vector. ...
Isentropic and Ideal Gas Density Relationships
... required 35 time steps to reach convergence. In both cases, convergence is defined to be reached when the normalized residuals for all variables are 1e‐5 or less. Due to the energy conservation equation the total number of time steps to reach convergence was higher for Case 2. Figure 2 shows the ...
... required 35 time steps to reach convergence. In both cases, convergence is defined to be reached when the normalized residuals for all variables are 1e‐5 or less. Due to the energy conservation equation the total number of time steps to reach convergence was higher for Case 2. Figure 2 shows the ...
Fluid Dynamics
... Fluid Dynamics: The Momentum and Bernoulli Equations 45 2. Steady non-uniform flow. Conditions change from point to point in the stream but do not change with time. An example is flow in a tapering pipe with constant velocity at the inlet - velocity will change as you move along the length of the pi ...
... Fluid Dynamics: The Momentum and Bernoulli Equations 45 2. Steady non-uniform flow. Conditions change from point to point in the stream but do not change with time. An example is flow in a tapering pipe with constant velocity at the inlet - velocity will change as you move along the length of the pi ...
O - Faculteit Technische Natuurkunde
... MTP: small scales Micro-fluid dynamics: - manipulating drops in small channels - micro-mixing ...
... MTP: small scales Micro-fluid dynamics: - manipulating drops in small channels - micro-mixing ...
Turbulence
In fluid dynamics, turbulence or turbulent flow is a flow regime characterized by chaotic property changes. This includes low momentum diffusion, high momentum convection, and rapid variation of pressure and flow velocity in space and time.Flow in which the kinetic energy dies out due to the action of fluid molecular viscosity is called laminar flow. While there is no theorem relating the non-dimensional Reynolds number (Re) to turbulence, flows at Reynolds numbers larger than 5000 are typically (but not necessarily) turbulent, while those at low Reynolds numbers usually remain laminar. In Poiseuille flow, for example, turbulence can first be sustained if the Reynolds number is larger than a critical value of about 2040; moreover, the turbulence is generally interspersed with laminar flow until a larger Reynolds number of about 4000.In turbulent flow, unsteady vortices appear on many scales and interact with each other. Drag due to boundary layer skin friction increases. The structure and location of boundary layer separation often changes, sometimes resulting in a reduction of overall drag. Although laminar-turbulent transition is not governed by Reynolds number, the same transition occurs if the size of the object is gradually increased, or the viscosity of the fluid is decreased, or if the density of the fluid is increased. Nobel Laureate Richard Feynman described turbulence as ""the most important unsolved problem of classical physics.""