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Problem 2 Find the velocity profile for steady, fully-developed, laminar flow in a circular pipe. Integrate...
i really appreciate it if explain this throughly June 1. Consider steady, fully-developed laminar flow of...
i really appreciate it if explain this throughly
June 1. Consider steady, fully-developed laminar flow of air through a Laminar Flow Element (LFE, a type of flow-meter) with an aligned bundle of 100 small bore tubes, each of diameter D 2.00 mm, and length L 200.0 mm. The pressure drop per unit length (Ap/L) across each of the 100 tubes is a function of the tube diameter D, fuid viscosity u (in units N s/m2), and average air velocity Vave....
2. (20 marks) The fully-developed, laminar fluid flow through a circular pipe is considered to be...
2. (20 marks) The fully-developed, laminar fluid flow through a circular pipe is considered to be one dimensional with a velocity profile given by u(r) = Umax(1 - 52/R2), where R is the radius of the pipe, r is the radial distance from the center of the pipe, and Umax is the maximum flow velocity at the center of the pipe. a) Derive a relation for the drag force applied by the fluid on a section of the pipe of...
In fully developed laminar flow in a circular pipe, the velocity at R/2 (midway between the...
In fully developed laminar flow in a circular pipe, the velocity at R/2 (midway between the wall surface and the centerline) is measured to be 91 m/s. Determine the velocity at the center of the pipe. The velocity at the center of the pipe m/s
Problem 5. Consider a (i) steady, (ii) incompressible, axisymmetric, (iv) fully- developed, (v) constant viscosity, (vi) laminar flow in a circular pipe. Assume that the pipe is horizontal, so that a...
Problem 5. Consider a (i) steady, (ii) incompressible, axisymmetric, (iv) fully- developed, (v) constant viscosity, (vi) laminar flow in a circular pipe. Assume that the pipe is horizontal, so that any gravitational effects can be ignored It is known that an incompressible, constant viscosity fluid can be described by the continuity equation in cylindrical coordinates together with the Naiver-Stokes equations (ak.a., momentum eqns) in cylindrical coor- dinates Ov 00. Or 9-moment um 11ap 2-momentum plus the appropriate boundary conditions. Starting...
Q5. Sketching a suitable control volume, show that the velocity profile V(r) for steady, fully laminar...
Q5. Sketching a suitable control volume, show that the velocity profile V(r) for steady, fully laminar flow in a horizontal pipe is given by V(r)- whereis is the pressure drop per unit length of pipe, R is the pipe radius and u the dynamic viscosity of the fluid. (10 marks) Thereafter develop Poiseuille's law for the volume flow rate O in the form SuL (10 marks) Hence show that the head loss h is given by where Vis the mean...
Problem1 It is known that for a laminar flow through a round pipe φ(D)-32 VD, where "I" and "D" are length and diameter of the pipe, respectively. Consider a fully developed, lami...
Problem1 It is known that for a laminar flow through a round pipe φ(D)-32 VD, where "I" and "D" are length and diameter of the pipe, respectively. Consider a fully developed, laminar flow Q- through two horizontal smooth pipes of equal length. The pressure drop for the first pipe is 1.44 times greater than is for the second pipe. If the diameter of the first pipe is D, determine the diameter of the second pipe. Neglect the minor losses.
Problem1...
Problem 1 It is known that for a laminar flow through a round pipe ф(ND)-32 VD,...
Problem 1 It is known that for a laminar flow through a round pipe ф(ND)-32 VD, where "I" and "D" are length and diameter of the pipe, respectively Consider a fully developed, laminar flow Q- through two horizontal smooth pipes of equal ength. The pressure drop for the first pipe is 1.44 times greater than is for the second pipe If the diameter of the first pipe is D, determine the diameter of the second pipe. Neglect the minor losses
y-velocity cannot be a onsider a steady, laminar, fully developed (hint: this means function to the...
y-velocity cannot be a onsider a steady, laminar, fully developed (hint: this means function to the motion applied in the y-direction. Assume that the flow is 2D (in the x and y) and that grav of yJ, incompressible flow between two infinite plates as shown. The flow is due of the left plate at a rate of Vo, as well as, a pressure gradient that is points in the negative y-direction. (15 points) Vo List the assumptions of the problem...
#1 Laminar Flow in Pipes The axial velocity in a pipe of radius R is given by, . Find the value o...
Fluid Mechanics
#1 Laminar Flow in Pipes The axial velocity in a pipe of radius R is given by, . Find the value of r (as a fraction of R) that maximizes u(r). How does this value of velocity compare with Vc? Compute the wall shear stress, du or Perform a control volume analysis on a pipe section of length e. Relate the pressure drop across the pipe section to the shear stress. Substitute the relation above for tw to...
Problem C. For laminar flow in a circular pipe, show that (a) average velocity equals Vmax/2;...
Problem C. For laminar flow in a circular pipe, show that (a) average velocity equals Vmax/2; and (b) shear stress at the pipe wall, To, equals avgh
i really appreciate it if explain this throughly
June 1. Consider steady, fully-developed laminar flow of air through a Laminar Flow Element (LFE, a type of flow-meter) with an aligned bundle of 100 small bore tubes, each of diameter D 2.00 mm, and length L 200.0 mm. The pressure drop per unit length (Ap/L) across each of the 100 tubes is a function of the tube diameter D, fuid viscosity u (in units N s/m2), and average air velocity Vave....
2. (20 marks) The fully-developed, laminar fluid flow through a circular pipe is considered to be one dimensional with a velocity profile given by u(r) = Umax(1 - 52/R2), where R is the radius of the pipe, r is the radial distance from the center of the pipe, and Umax is the maximum flow velocity at the center of the pipe. a) Derive a relation for the drag force applied by the fluid on a section of the pipe of...
In fully developed laminar flow in a circular pipe, the velocity at R/2 (midway between the wall surface and the centerline) is measured to be 91 m/s. Determine the velocity at the center of the pipe. The velocity at the center of the pipe m/s
Problem 5. Consider a (i) steady, (ii) incompressible, axisymmetric, (iv) fully- developed, (v) constant viscosity, (vi) laminar flow in a circular pipe. Assume that the pipe is horizontal, so that any gravitational effects can be ignored It is known that an incompressible, constant viscosity fluid can be described by the continuity equation in cylindrical coordinates together with the Naiver-Stokes equations (ak.a., momentum eqns) in cylindrical coor- dinates Ov 00. Or 9-moment um 11ap 2-momentum plus the appropriate boundary conditions. Starting...
Q5. Sketching a suitable control volume, show that the velocity profile V(r) for steady, fully laminar flow in a horizontal pipe is given by V(r)- whereis is the pressure drop per unit length of pipe, R is the pipe radius and u the dynamic viscosity of the fluid. (10 marks) Thereafter develop Poiseuille's law for the volume flow rate O in the form SuL (10 marks) Hence show that the head loss h is given by where Vis the mean...
Problem1 It is known that for a laminar flow through a round pipe φ(D)-32 VD, where "I" and "D" are length and diameter of the pipe, respectively. Consider a fully developed, laminar flow Q- through two horizontal smooth pipes of equal length. The pressure drop for the first pipe is 1.44 times greater than is for the second pipe. If the diameter of the first pipe is D, determine the diameter of the second pipe. Neglect the minor losses.
Problem1...
Problem 1 It is known that for a laminar flow through a round pipe ф(ND)-32 VD, where "I" and "D" are length and diameter of the pipe, respectively Consider a fully developed, laminar flow Q- through two horizontal smooth pipes of equal ength. The pressure drop for the first pipe is 1.44 times greater than is for the second pipe If the diameter of the first pipe is D, determine the diameter of the second pipe. Neglect the minor losses
y-velocity cannot be a onsider a steady, laminar, fully developed (hint: this means function to the motion applied in the y-direction. Assume that the flow is 2D (in the x and y) and that grav of yJ, incompressible flow between two infinite plates as shown. The flow is due of the left plate at a rate of Vo, as well as, a pressure gradient that is points in the negative y-direction. (15 points) Vo List the assumptions of the problem...
Fluid Mechanics
#1 Laminar Flow in Pipes The axial velocity in a pipe of radius R is given by, . Find the value of r (as a fraction of R) that maximizes u(r). How does this value of velocity compare with Vc? Compute the wall shear stress, du or Perform a control volume analysis on a pipe section of length e. Relate the pressure drop across the pipe section to the shear stress. Substitute the relation above for tw to...
Problem C. For laminar flow in a circular pipe, show that (a) average velocity equals Vmax/2; and (b) shear stress at the pipe wall, To, equals avgh
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