Consider a laminar inviscid (without viscosity) flow of an incompressible fluid through a horizontal pipe. As the pipe widens, what can be said about the speed and the pressure of the fluid?
A. both speed and pressure remain the same
B. speed increases, pressure decreases
C. both speed and pressure increase
D. speed decreases, pressure increases
E. both speed and pressure decrease
Consider a laminar inviscid (without viscosity) flow of an incompressible fluid through a horizontal pipe. As...
fluid mechanics
A steady, incompressible, and laminar flow of a fluid of viscosity u flows through an inclined narrow gap of a crack in the wall of length L and a constant width W shown in Figure Q1(b). Assume that the gap has a constant thickness of 7. The fluid flows down the inclined gap at an angle and in the positive x-direction. No pressure gradient is applied throughout the flow but there is gravitational effect. Derive an expression for...
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...
The laminar flow of a permanent incompressible Newtonian fluid in a long cylindrical pipe with a diameter D in vertical position is considered. Gravitational effects are taken into account, flow is carried out with a constant pressure gradient and gravity effect in the z- direction. a. Express the problem on the figure, write the given and accepted. b. Find the velocity profile in the fluid. c. Develop the relations that express the volumetric flow and shear stress in the pipe...
Considera steady, incompressible laminar flow of a Newtonian fluid in a pipe ignoring the effects of gravity. When a constant pressure gradient is applied in the x-direction, demonstrate that the maximum velocity of the fluid is given by 2 times of its average velocity.
Consider an incompressible inviscid fluid: a) Write Bernoulli's equation for the fluid. b) Write the energy equation for the same fluid. c) Express the difference between the two equations in terms of heat and internal energy, explaining the meaning of the individual components of this difference. d) Compare the two equations and discuss when the energy equation for an incompressible inviscid flow reduced to Bernoulli's equation.
Two cylindrical pipes both carry an ideal fluid (zero viscosity) in laminar flow. Pipe A has radius RA = 2 cm and flow velocity vA = 8 cm/s. Pipe B has radius RB = 4 cm and flow velocity vB = 4 cm/s. Compared to the rate of flow in pipe A, that in pipe B is Question 13 options: half as large. twice as large. depends on the length of the pipe. the same.
Consider steady, incompressible, laminar flow of a Newtonian fluid in the narrow gap between two infinite parallel plates. The top plate is moving at speed V, and the bottom plate is moving in the opposite direction at speed V. The distance between these two plates is h, and gravity acts in the negative z-direction. There is no applied pressure other than hydrostatic pressure due to gravity. Calculate the velocity and estimate the shear stress acting on the bottom plate Moving...
Problem 3. Consider a pipe containing a steadily flowing inviscid fluid. It has one inlet and branches into two arms so that there are two outlets (see Fig. 1). Flow can be considered uniform and parallel to the walls when entering and exiting the pipe Inlet Pi Outlet ρ2 A2 p, Outlet Figure 1: Flow of fluid through a "T" -junction in a pipe, shown from above (not to scale) Part A (a) The Continuity equation, as given on the...
105. When an incompressible fluid flows steadily through a round pipe, the pressure drop AP due to friction is given by where ? is the fluid density, Vis the velocity, L/D is the pipe length-to- diameter ratio, and f is the D'Arcy friction coefficient. For laminar flow, the friction coefficient f can be related to the Reynolds number, Re, by a relationship of the form ??? Use the measured data in Table 5 to determine a and b by a...
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...