2. A spherical tank with radius R (=1.5 m) has a hole at the bottom through which water drains out. The flow rate, Q, through the hole is estimated as Q=0.55m² √2gh where r is the hole radius (=0.015 m), g is the gravity constant (=9.81 m/s2), and h is the depth of water. 20 h² (3R-h) 3 The initial height of water For the spherical tank, the volume of water, V, is given by V=- -Qusing Explicit Euler's method (A/= 200 sec), 4th dV is 2.95 m. Solve the mass balance equation = dr order Runge-Kutta method (A/= 200 sec), and ode45 solver. Plot water height (h) vs. time (r) for each Ar for 0 st≤ 5000 sec and confirm that the 4th order RK method is more accurate than Explicit Euler method (we regard the ode45 solution as the true solution). Use ExplicitEuler.m and rk4.m files. Solve the same problem also using Simulink.

2. A spherical tank with radius R (=1.5 m) has a hole at the bottom through which water drains out. The flow rate, Q, through the hole is estimated as Q=0.55m² √2gh where r is the hole radius (=0.015 m), g is the gravity constant (=9.81 m/s2), and h is the depth of water. 20 h² (3R-h) 3 The initial height of water For the spherical tank, the volume of water, V, is given by V=- -Qusing Explicit Euler's method (A/= 200 sec), 4th dV is 2.95 m. Solve the mass balance equation = dr order Runge-Kutta method (A/= 200 sec), and ode45 solver. Plot water height (h) vs. time (r) for each Ar for 0 st≤ 5000 sec and confirm that the 4th order RK method is more accurate than Explicit Euler method (we regard the ode45 solution as the true solution). Use ExplicitEuler.m and rk4.m files. Solve the same problem also using Simulink.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Similar questions

A 30 cm pipe carrying water, branches into two pipes of 20 cm and 15 cm diameter. If mean velocity in 30 cm pipe is 2.5 m/s, find the discharge in the pipe. Also find velocity in 15 cm pipe if the mean velocity in 20 cm pipe is 2 m/s.
A venturi meter has air flowing through it. The diameter at the entrance is 2.5 in and at the throat is 1.3 in. The gage pressure measured at the entrance is 12.5 psia and at the throat is 11.7 psia. Neglecting frictional effects, determine the flow rate of air. Use 0.075 lbm/ft3 as the density of air. Round your answer to 2 decimal places and in ft3/s.
Water flows through a Venturi meter, as shown in the figure. The pressures of the water at locations a and b in the pipe support columns of water that differ in height by L = 12 in. The atmospheric pressure is 14.7 lbf/in2, the specific volume of water is 0.01604 ft3/lb, and the acceleration of gravity is g = 32.0 ft/s2.
i need the answer quickly
3a
4. A pipe has an initial radius of 30cm, which then changes to a radius of 10cm. The velocity of the water in the initial part of the pipe is 2m/s. The segment of the pipe with the smaller radius is also 0.5 m higher than the initial pipe segment. What is the pressure difference between the two parts of the pipe? (6 pts) b) What is the volume flow rate in the pipe? (3 pts)
Flow takes place between three reservoirs, as shown in Figure 1. The volume flow rate out of reservoirs A and B is 0,15 m³/s and 0,25 m³/s respectively. If the coefficient of friction for three pipes is 0,008, determine the relative elevations of the free surfaces. Neglect all losses other than friction. May you kindly resend the answers in a different format as they appear blank??
The water is flowing through a pipe having diameters 40 cm and 17 cm at sections land 2 respectively. The rate of flow through pipe is 45 litres/s. The section 1 is 7 m above datum and section 2 is 4 m above datum. If the pressure at section 1 is 35 N/cm2, find the following by neglecting losses:
Water flows through a Venturi meter, as shown in the figure. The pressures of the water at locations a and b in the pipe support columns of water that differ in height by L = 10 in. The atmospheric pressure is 14.7 lbf/in², the specific volume of water is 0.01604 ft3/lb, and the acceleration of gravity is g = 32.0 ft/s². Step 1 Patm = 14.7 lbf/in.² g= 32.0 ft/s² Determine the difference in pressure between points a and b, in lbf/in². Does the pressure increase or decrease from point a to point b? Water v = 0.01604 ft³/lb Save for Later Determine the difference in pressure between points a and b, in lbf/in². Pb-Pa = i lbf/in² 4 Attempts: 0 of 4 used Submit Answer
Q2/: As shown in the figure, the Assumptions of the flow through the venturi is steady, incompressible, irrational with negligible frictional effects , the effect of air column on the pressure change is negligible, the pressure can be assumed to be uniform at a given cross-section of the venturi meter and the flow is horizontal . Air is flowing through a venturi meter whose diameter is 2.6 in at the entrance part (location 1) and 1.8 in at the throat (location 2). The gage pressure is measured to be 12.2 psia at the entrance and 11.8 psia at the throat. Neglecting frictional effects, take the air density to be 0.075 lbm/ft. 1. Show that the volume flow rate can be expressed as: 2(P P2) | = A, p(1 – AŽIA}) 2. Find the flow rate of the air? 12.2 psia 11.8 psia Air 2.6 in 1.8 in
A reciprocating compressor draws in 500 gal per minute of air whose density is 0.079 lbm/cu ft and discharges it with density of 0.304 lbm/cu ft. At the suction, p1 = 15 psia; at discharge, p2 = 80 psia. The increase in the specific internal energy is 33.8 Btu/lbm and the heat transferred from the air by cooling is 20 Btu/lbm. Determine the work on the air in Btu/min and in hp. STEP BY STEP EXPLANATION PLS
A 12 mm diameter har of steel 15 m length at 20C is subjected to rise in temperature of 180 C Taking E= 2x 10 n/mm^2 and coefficient of linear expansion as 12 x 10/"C Find: A. The free expansion of the bur. b. The temperature stress, when the expansion of the bar in prevented The temperature stress, when the expansion of the bur is partially allowed by 6 mm.