Describe in physical terms the forces acting on segment of the tube wall in pulsatile flow...
Describe in physical terms the forces acting on segment of the tube wall in pulsatile flow through a compliant tube.
Homework Answers
motion on compliant tube is described by Navier Stokes equations, the equation of continuity for the fluid, and equations of motion for the wall.
On "derivation of the equation of motion of the fluid" you can find an explanation of Navier Stokes equation.
Full pdf in: http://www.ncbi.nlm.nih.gov/pmc/articles/PMC1368038/
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Describe in physical terms the forces acting on segment of the
tube wall in pulsatile flow...
Problems 32 through 42 describe a situation. For each problem, identify all the forces acting on...
Problems 32 through 42 describe a situation. For each problem, identify all the forces acting on the object and draw a free-body diagram of the object. 32. You are leaning against a wall. 33. Il Your car is accelerating from a stop.
3. What four forces are acting in the momentum balance in open-channel flow? 4. What is...
3. What four forces are acting in the momentum balance in open-channel flow? 4. What is a kinematic wave? 5. What is a dynamic wave according to Lagrange? 6. What is the Froude number?
Poiseuille Flow: Consider a pressure-driven (gradient DeltaP/L = (P_in -P_out)/L) flow of a fluid of viscosity...
Poiseuille Flow: Consider a pressure-driven (gradient DeltaP/L = (P_in -P_out)/L) flow of a fluid of viscosity mu in a tube of circular cross-section with radius R and length L. Starting from the NSE, show for fully-developed, steady flow, that the volumetric flow rate is:[10] Show that the magnitude of the shear stress T_rz at the wall is: Using your answer from parts (a) and (b), obtain an expression for the friction factor f in terms of the Reynolds number Re...
Using dimensional analysis, express the characteristic length, velocity and time scales for near-wall flow in terms...
Using dimensional analysis, express the characteristic length, velocity and time scales for near-wall flow in terms of the density, viscosity and wall shear-stress. Show that the length scale can also be expressed as where v is the kinematic ur viscosity and u, is the friction velocity.
Air flow is induced in an insulated tube of 7.16 mm diameter by a vacuum pump....
Air flow is induced in an insulated tube of 7.16 mm diameter by a vacuum pump. Air is drawn from a room where stagnation pressure is 101 kPa (abs) and stagnation temperature 23 °C, through a smoothly contoured converging nozzle. At station (1), where the converging nozzle joins the constant area tube, the static pressure is 98.5 kPa (abs). At section (2), located some distance downstream in the constant area tube, the air temperature is 14 °C. Determine a) the...
describe the interaction between plants and animals in terms of energy flow and the environment.
describe the interaction between plants and animals in terms of energy flow and the environment.
Configuration I Four forces acting on the central ring are expressed in terms of their magnitudes...
Configuration I Four forces acting on the central ring are expressed in terms of their magnitudes and directions: (1.96 N,o°), Fi - (0.950 N,10), 180), and F - (P, 270P). Calculate the values of Fs and Fs that will bring the Remember, if the system is in equilibrium, the sum of the r-components must add up to zero newtons and the sum of the y-components must add up to zero newtons. For example, Fs only has a component in the...
An incompressible Newtonian fluid flow through a horizontal circular tube is shown in the following figure....
An incompressible Newtonian fluid flow through a horizontal circular tube is shown in the following figure. We assume that the flow is steady, and its direction is parallel to the wall. By using the Navier-Stokes equations. determine the velocity profile and calculate the mean velocity and maximum velocity; Please give the details about how to simplify the N-S equation, how to integrate the simplified N-S equations with the proper boundary conditions, and the relationship between the mean velocity and maximum...
(Step 2.6) There were two questions concerning the forces acting on the carts connected by a...
(Step 2.6) There were two questions concerning the forces acting on the carts connected by a string that you were to ponder: [a.] Which object, the string (between the carts) or cart A, exerts a force directly on cart B? Which object, the string or cart A, has a force acting directly on It from cart B? [b.] In light of your answers to the above question, do the forces measured in steps 2.1 through 2.4 (that is, the forces...
Shear and Bending Moment Diagrams Learning Goal: To determine the reactive forces and moments acting on...
Shear and Bending Moment Diagrams
Learning Goal:
To determine the reactive forces and moments acting on a beam;
express the shear and bending moment as functions of their
positions along the beam; and construct shear and bending moment
diagrams.
The cantilever beam shown is subjected to a moment at A
and a distributed load that acts over segment BC, and is
fixed at C. Determine the reactions at the support located
at C. Then write expressions for shear and bending...
Problems 32 through 42 describe a situation. For each problem, identify all the forces acting on the object and draw a free-body diagram of the object. 32. You are leaning against a wall. 33. Il Your car is accelerating from a stop.
3. What four forces are acting in the momentum balance in open-channel flow? 4. What is a kinematic wave? 5. What is a dynamic wave according to Lagrange? 6. What is the Froude number?
Poiseuille Flow: Consider a pressure-driven (gradient DeltaP/L = (P_in -P_out)/L) flow of a fluid of viscosity mu in a tube of circular cross-section with radius R and length L. Starting from the NSE, show for fully-developed, steady flow, that the volumetric flow rate is:[10] Show that the magnitude of the shear stress T_rz at the wall is: Using your answer from parts (a) and (b), obtain an expression for the friction factor f in terms of the Reynolds number Re...
Using dimensional analysis, express the characteristic length, velocity and time scales for near-wall flow in terms of the density, viscosity and wall shear-stress. Show that the length scale can also be expressed as where v is the kinematic ur viscosity and u, is the friction velocity.
Air flow is induced in an insulated tube of 7.16 mm diameter by a vacuum pump. Air is drawn from a room where stagnation pressure is 101 kPa (abs) and stagnation temperature 23 °C, through a smoothly contoured converging nozzle. At station (1), where the converging nozzle joins the constant area tube, the static pressure is 98.5 kPa (abs). At section (2), located some distance downstream in the constant area tube, the air temperature is 14 °C. Determine a) the...
Configuration I Four forces acting on the central ring are expressed in terms of their magnitudes and directions: (1.96 N,o°), Fi - (0.950 N,10), 180), and F - (P, 270P). Calculate the values of Fs and Fs that will bring the Remember, if the system is in equilibrium, the sum of the r-components must add up to zero newtons and the sum of the y-components must add up to zero newtons. For example, Fs only has a component in the...
An incompressible Newtonian fluid flow through a horizontal circular tube is shown in the following figure. We assume that the flow is steady, and its direction is parallel to the wall. By using the Navier-Stokes equations. determine the velocity profile and calculate the mean velocity and maximum velocity; Please give the details about how to simplify the N-S equation, how to integrate the simplified N-S equations with the proper boundary conditions, and the relationship between the mean velocity and maximum...
(Step 2.6) There were two questions concerning the forces acting on the carts connected by a string that you were to ponder: [a.] Which object, the string (between the carts) or cart A, exerts a force directly on cart B? Which object, the string or cart A, has a force acting directly on It from cart B? [b.] In light of your answers to the above question, do the forces measured in steps 2.1 through 2.4 (that is, the forces...
Shear and Bending Moment Diagrams
Learning Goal:
To determine the reactive forces and moments acting on a beam;
express the shear and bending moment as functions of their
positions along the beam; and construct shear and bending moment
diagrams.
The cantilever beam shown is subjected to a moment at A
and a distributed load that acts over segment BC, and is
fixed at C. Determine the reactions at the support located
at C. Then write expressions for shear and bending...
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