Flow that changes over time is known as Answer flow, while flow that stays consistent over time is known as Answer flow.Flow that changes depending on the location within the fluid is known as Answer flow, while flow that stays consistent over space is knownas Answer flow.majornonuniformminoruniformsteadyunsteady

For steady flow, flow properties doesn't change with time. And for unsteady flow, the flow…

Answered: Flow that changes over time is known as…

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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6 Consider a fully developed laminar flow of a fluid through 8027 m long and 4 cm diameter horizontal and circular pipe. The dynamic density and the viscosity of the fluid are 1252 kg/m³ and 0.3073 kg/(m.s). The velocity profile at a cross-section is given by: u(r)= 6[1 − ( 7 )²] - m/s Where r is the axial distance from the centre and R is the radius of the pipe. Determine the following: (i) (ii) the maximum velocity at a cross-section of the pipe, Umax the average velocity at a cross-section of the pipe, Vave the volume flow rate, Q (iv) Reynolds number, Re (v) friction factor, f (vi) head loss, hi (vii) pressure loss, AP (viii) pumping power required, (ix) for the same pumping power, the percentage decrease of the flow rate if the pipe is inclined 10° upward (assume the head loss, hò, calculated in part (vi) does not change) Useful formulae: 64 f Re h₂ = f ( =) ( 2² ) 2g =
Q4. Consider simple laminar pressure driven flow in a circular pipe of radius R. We can write the equation for the velocity distribution in the pipe to be: V₂ = 2U|1 2U [1 - (R)²] where U= average velocity. Using the energy equation with the viscous dissipation term, calculate the temperature profile in the fluid due to viscous dissipation alone. Assume that
9-104 Consider a modified form of Couette flow in which there are two immiscible fluids sandwiched between two infi- nitely long and wide, parallel flat plates (Fig. P9–104). The flow is steady, incompressible, parallel, and laminar. The top plate moves at velocity V to the right, and the bottom plate is stationary. Gravity acts in the -z-direction (downward in the figure). There is no forced pressure gradient pushing the flu- ids through the channel–the flow is set up solely by viscous effects created by the moving upper plate. You may ignore surface tension effects and assume that the interface is hori- zontal. The pressure at the bottom of the flow (z = 0) is equal to Pg. (a) List all the appropriate boundary conditions on both velocity and pressure. (Hint: There are six required boundary conditions.) (b) Solve for the velocity field. (Hint: Split up the solution into two portions, one for each fluid. Generate expressions for u, as a function of z and uz as a function of z.) (c)…

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