The velocity vector of a flow field is given as; V= -ai++5k where a is a constant. a) Determine whether the flow is incompressible or not. Explain. b) Determine whether the flow is steady or not. Explain. c) Determine the numerical value of a, if the vorticity vector is Q = 0.5 k

The velocity vector of a flow field is given as; V= -ai++5k where a is a constant. a) Determine whether the flow is incompressible or not. Explain. b) Determine whether the flow is steady or not. Explain. c) Determine the numerical value of a, if the vorticity vector is Q = 0.5 k

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: Write the differential equation of motion for the shown inverted pendulum. and determine its natural…

Q: The velocity flow field in a steady non uniform flow is represented by the following equation.…

Q: The velocity in m/s at a point in a two-dimensional flow is given as "V = 2î + 3j. The equation of…

A: A 2-d flow-Equation of stream line passing through the point = ?

Q: To obtain friction factor, f, we need to know the Q, D, and ks in a given fluid flow. But if Q is…

A: To Determine Data required to obtain friction factor, f

Q: A 100-ft long dam holds 30 ft of water as shown in the figure. Using the panel equations, determine…

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Consider the following steady, two-dimensional velocity field: √ (u, v) = = (0.21 +2.1a) +…

A: V→ u,v=(0.21+2.1x)i→+(-2.9-2.1y)j→ To find:- Location of stagnation point Concept:- A stagnation…

Q: (Bernoulli/continuity) Water flows steadily through a diverging tube as shown in the figure below.…

A: Please refer the attached image for complete solution. THANK YOU.

Q: Problem 1: Potential and stream functions For the velocity potential: 3xy2 L' L. L and v, are…

A: Vx=∂ϕ∂xVy=∂ϕ∂y Calculating the velocity potential:…

Q: With reference to a standard Cartesian (x, y) plane, the parabolic velocity distribution profile of…

A: Given: Parabolic velocity profile distribution To find: Maximum velocity Average velocity Note :…

Q: The water jet is ejected from the 4-in.-diameter pipe with a steady velocity of v = 20 ft/s. It…

Q: The x component of velocity in a two dimensional incompressible flow is given by u = 1.5x. At the…

A: x-component of the velocity- u=1.5x At point (x, y)=(1, 0) ; y component of velocity v=0 Equation…

Q: Develop an equation for the average velocity of a viscous fluid in a capillary tube of radius R…

Q: 2. A steady flow between two parallel plates is fully developed and laminar. The distance between…

A: Solution: a) Derivation of velocity distribution, u: Consider a steady flow between two parallel…

Q: Required information The rotating-cylinder viscometer in the image shears the fluid in a narrow…

A: Given:- The rotating-cylinder viscometer shears the fluid in narrow clearance ∆r The magnitude of…

Q: With reference to a standard Cartesian (x, y) plane, the parabolic velocity distribution profile of…

Q: Consider a two-dimensional flow which varies in time and is defined by the velocity field, u = 1 and…

A: If the density not change with respect to time then flow is called incompressible fluid

Q: Q3. A free jet of water with an initial diameter of 2 in strikes the vane as shown in the figure…

A: Resultant Force: A resultant force is the sum of the forces acting on a component or object in the…

Q: in a three-dimensional incompressible fluid flow, the velocity components are:

A: u=x2+z2+5 y=y2+z2-3

Concept explainers

Sediment transport

Sediment transport or Soil transport is the movement of solid particles, usually due to the combination of gravitational forces acting on the sediment, and the movement of the liquid at which the sediment enters. Soil erosion occurs in natural systems where the particles are sandstones (sand, rocks), mud, or clay; the liquid is air, water, or ice; and the gravitational force that works to move particles to the landing surface. Sediment transportation or soil migration due to the movement of liquids occurs in rivers, lakes, lakes, oceans, and other bodies of water as a result of currents and waves. Transportation is also caused by glaciers as they flow, and to places on earth under the influence of wind. Soil erosion due to gravity alone is possible in most sloping areas, including hills, scarves, cliffs, and the continental shelf — the continental boundary of the slope.

Question

The velocity vector of a flow field is given as; V=-i++ 5 k
where a is a constant.
a) Determine whether the flow is incompressible or not. Explain.
b) Determine whether the flow is steady or not. Explain.
c) Determine the numerical value of a, if the vorticity vector is Q = 0.5 k
d) Obtain the convective acceleration vector.
e) Determine whether the flow is uniform or not. Explain.
f) Determine the equation of streamlines of the flow on the x-y plane.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step by step

Solved in 4 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.

Similar questions

If you decide to help, please help with all the parts of the question, I'm not sure I understand any of it... :/ The tank shown in the following figure is being filled by Pipes 1 and 2. The water level is to remain constant. A tank of water is open at the top. The tank is filled from above by pipe 1 and pipe 2. Pipe 1 has diameter d1 = 1 in., and fills the tank with water at a velocity of V1 = 2 ft/s. Pipe 2 has diameter d2 = 1.25 in., and fills the tank with water at a velocity of V2 = 1.4 ft/s. Water empties from the bottom of the tank through pipe 3. Pipe 3 has diameter d3 = 1.5 in., and empties water from the tank at an unknown velocity V3. (a) What is the volume flow rate (in ft3/s) of Pipe 1? (b) What is the volume flow rate (in ft3/s) of Pipe 2? (c) What is the volume flow rate (in ft3/s) of water leaving the tank at 3? (d) What is the cross-sectional area (in ft2) of flow for Pipe 3? (e) What is the average velocity (in ft/s) of the water leaving the tank?
An incompressible fluid is flowing at steady rate in horizontal pipe. From a section, the pipe divides into two horizontal parallel pipes of diameter (d, and d₂) (where d₁ = 4d₂) that run, for a distance of L each and then again join back to a pipe of the original size. For both the parallel pipes, assume the head loss due to friction only and the Darcy-weisbach friction factor to be same. The velocity ratio between bigger and smaller branched pipe is.
Consider the flow of water through a clear tube. It is sometimes possible to observe cavitation in the throat created by pinching off the tube to a very small diameter as sketched. We assume incompressible flow with negligible gravitational effects and negligible irreversibilities. You will learn that as the duct cross- sectional area decreases, the velocity increases and the pressure decreases according to V1A1 = V2 A2 and P1 + ρ V21 / 2 = P2 + ρ V2 2 / 2respectively, where V1 and V2 are the average velocities through cross-sectional areas A1 and A2. Thus, both the maximum velocity and minimum pressure occur at the throat. (a) If the water is at 20°C, the inlet pressure is 20.803 kPa, and the throat diameter is one-twentieth of the inlet diameter, estimate the minimum average inlet velocity at which cavitation is likely to occur in the throat. (b) Repeat at a water temperature of 50°C. Explain why the required inlet velocity is higher or lower than that of part (a).
With reference to a standard Cartesian (x, y) plane, the parabolic velocity distribution profile of fully developed laminar flow in x direction between two parallel stationary and identical plates that are separated by distance, h is given by the expression U = -h² (dp 8μ dx 1-4 In this equation, the y = 0 axis lies equidistant between the plates at a distance h/2 from the two plates. p is the pressure variable and is the dynamic viscosity term. The maximum and average velocities are respectively. Max and average velocity are
Fluid mechanics question