The velocity along the centreline of a nozzle of length L is given by 2 V = 2t| 1-. 2L where, V = Velocity in m/s, t= time, in seconds, from commencement of flow, x = distance from inlet to the nozzle. Find the convective acceleration, local acceleration and the total acceleration when t = 3s, x = 0.5 m and L = 0.8 m.

The velocity along the centreline of a nozzle of length L is given by 2 V = 2t| 1-. 2L where, V = Velocity in m/s, t= time, in seconds, from commencement of flow, x = distance from inlet to the nozzle. Find the convective acceleration, local acceleration and the total acceleration when t = 3s, x = 0.5 m and L = 0.8 m.

Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)

5th Edition

ISBN:9781305084766

Author:Saeed Moaveni

Publisher:Saeed Moaveni

Chapter9: Mass And Mass-related Variables In Engineering

Section: Chapter Questions

Problem 37P

See similar textbooks

Similar questions

The tank shown in figure is of a depth d = 48.8 cm and width w =24.4 cm accelerated by ax = 3.43m/sec2 to the right, find the allowable water height (h) to avoid spill of water during acceleration
A fluid flows through pipe shown below of uniform diameter 15 cm. The velocity of the fluid particles on the streamline along the center line of the pipe defined by V = 3t m/sec . find the the normal acceleration and the streamline acceleration when t = 10 sec. 0.5 m
Cylinder B has a downward velocity in feet per second given by vB = 0.75t2 + 0.45t3, where t is in seconds. Calculate the acceleration of A when t = 2.46 sec. The acceleration of A is positive if downward, negative if upward.
An open vessel 4.0m wide, 5.0m long and 3.5m deep contains 3m of water. It is then accelerated to the right along its width. a. Calculate the acceleration just about water to spill. b. At this rate, what is the force (in N) causing the acceleration if the mass of the vessel if the mass of the vessel is 600kg? c. Consider the same vessel accelerated at 7.00 m/s2. Determine the volume (in m3) of water spilled at that acceleration.
The acceleration of a rocket traveling upward is given by a = (6 + 0.02s) m/sec2, where s is in meters. Determine the time needed for the rocket to reach an altitude of s = 100 m. Initially, v = 0 and s = 0 when t = 0.
A fluid moves in a steady flow manner between two sections in a flow line. Calculate (a)the mass flow rate, (b) area, and (c) volume flow rate at the outlet section. Inlet section: v1 = 30.48 m/s; A1 = 10 ft2; p1 = 0.25 lb/ft3Outlet section: v2 = 9.31 ft/s; p2 = 0.202 lb/ft3
Water enters a large rigid tank steadily at a rate of V . = 0.5 m3/s, and exits through a large rectangular opening through which the velocity changes linearly in the vertical direction from 4 m/s to 5 m/s. Knowing that the tank is full, determine the magnitude of the velocity through the circular opening at the top whose diameter is D = 15 cm.
Consider laminar flow of a Newtonian fluid in the y direction between two parallel andvertical plates with a distance between h, at steady state. The plate on the left isstationery and the other plate on right-hand side is moving vertically upwards at aconstant velocity Vo. Derive an equation for the velocity profile.
Air flows thru a device shown in the figure below. If the flow rate is large enough, the pressure within the constriction will be low enough to draw the water up into the tube. The specific weights of water and air are 9.80 and 12 KN/m3, respectively. If frictional loss is neglected, compute the following: a) the pressure of air at point 2 (kPa), b) the flow rate (L/s), and c) the pressure needed at section 1 to draw the water into section 2 (kPa). Note: Maintain up to 3 decimal places on partial and final answers.
The flow from A to E is 0.280 cum/sec. Using n = 0.058 Pipe 1 (Diameter and Length): 450 mm, 300 m Pipe 2 (Diameter and Length): 250 mm, 360 m Pipe 3 (Diameter and Length): 350 mm, 300 m Pipe 4 (Diameter and Length): 300 mm, 1200 m Pipe 5 (Diameter and Length): 200 mm, 600 m Pipe 6 (Diameter and Length): 450 mm, 600 m Compute the Total head loss from A to D in meters Round your answer to 3 decimal places.
Consider a hydraulic jack being used in a car repair shop, as in the figure. The pistons have an area of Ap= 0,8 cm? and A= 0.04 m2, Hydraulic oil with a specific gravity of 0.870 is pumped in as the small piston on the left side is pushed up and down, slowly raising the larger piston on the right side. A car that weighs 13,000 N is to be jacked up. At the beginning, when both pistons are at the same elevation (h= 0), calculate the force F+ in newtons required to hold the weight of the car. 1. What height of mercury column will cause a pressure of 680 kPa? Use sg of mercury equals to 13.6 2. Determine the pressure in a vessel of mercury, specific gravity 13.6, at a point 20 cm below the surface. Express the answer in kN/m2.
40.) A closed cylinder 0.90 m in diameter and 0.80 m high is filled with water. Assuming the metal of the cylinder is 5 mm inch thick with an ultimate strength of 248 MPa compute its rpm if it is rotated about its vertical axis to the point of bursting. A. 1236.89 грт B. 956.12 грт C. 1896.23 гр D. 1573.1 rpm 41. This type of fluid flow is in between laminar and turbulent flow. A. Transference Zone B. Transition Zone C. Conversion Zone D. Transformation Zone 42.) The flow through a pipe is laminar if the Reynold's number is less than this number. A. 500 B. 1000 C. 1500 D. 2000