**Problem Statement:**Calculate the power required to pump sulphuric acid (dynamic viscosity 0.04 Pa·s, relative density 1.83) at 45 L·s⁻¹ from a supply tank through a glass-lined 150 mm diameter pipe, 18 m long, into a storage tank. The liquid level in the storage tank is 6 m above that in the supply tank. For laminar flow, \( f = \frac{16}{Re} \); for turbulent flow \( f = 0.0014(1 + 100 \times Re^{-1/3}) \) if \( Re < 10^7 \). Take all losses into account.**Explanation of Formulae and Terms:**- **Dynamic Viscosity (\(\mu\))**: A measure of a fluid's resistance to flow, given as 0.04 Pa·s. - **Relative Density**: The ratio of the density of the fluid to the density of a reference substance (usually water), given as 1.83.- **Flow Rate**: Given as 45 L·s⁻¹ (liters per second).- **Pipe Specifications**: - Diameter: 150 mm - Length: 18 m- **Elevation Difference**: 6 m (height difference between liquid levels in the tanks).- **Reynolds Number (\(Re\))**: A dimensionless quantity used to predict flow patterns in different fluid flow situations.- **Friction Factor (\(f\))**: - **Laminar Flow**: \( f = \frac{16}{Re} \) - **Turbulent Flow**: \( f = 0.0014(1 + 100 \times Re^{-1/3}) \) provided \( Re < 10^7 \).The problem involves determining the power needed to overcome resistances and elevate the fluid, using the given equations for friction factors in laminar and turbulent flow regimes.

Answered: Image /qna-images/answer/93400c62-ea7e-4152-a8d8-0cd7d767203d.jpgμ=0.04 Pa.s ρ=1830 kg/m3 Q=45L s-1 dia=150mm length=18m z2-z1=6m AxV=45x10-3 m/s V=45x10-3 π4x0.15-2 V=2.55m/s⇒Re.no=ρVdμ ⇒183020550.150.04 ⇒17475 since f=0.00141+100 Re-13 f=0.00141+100 17475-13 f=0.00679 Function factor F=4f F=0.028 Energy equation between two tanks- P1ρg+V12ρg+z1+HP=P2ρg+V22ρg+z2+FLV2ρgd+V22gkent+kent HP=6+0.028x18x2.5522x9.81x0.15+2.552x1.52x9.81 HP=7.62 Power=νQHP Power=1830x9.81x0.045x7.61 Power=6.148 kw

Engineering

Mechanical Engineering

Calculate the power required to pump sulphuric acid (dynamic viscosity 0.04 Pa s, relative density 1.83) at 45 L s from a supply tank through a glass-lined 150 mm diameter pipe, 18 m long, into a storage tank. The liquid level in the storage tank is 6 m above that in the supply tank. For laminar flow f 16/Re; for turbulent flow f= 0.0014(1 + 100*Re13) if Re < 107. Take all losses into account.

Calculate the power required to pump sulphuric acid (dynamic viscosity 0.04 Pa s, relative density 1.83) at 45 L s from a supply tank through a glass-lined 150 mm diameter pipe, 18 m long, into a storage tank. The liquid level in the storage tank is 6 m above that in the supply tank. For laminar flow f 16/Re; for turbulent flow f= 0.0014(1 + 100*Re13) if Re < 107. Take all losses into account.

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

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