Water at a temperature of 25°C flows through a horizontal cast iron pipe (as shown in the following figure) at 0.0314 m³/s. Determine the smallest diameter pipe (in mm) if the allowed pressure drop over a length, L-223 m is to be no more than 80 kPa. Take pw = 997.1 kg/m³ and w = 0.898(10-6) m²/s, and roughness height = 0.00026 m. Note: 1. Take pressure drop at section 1 and section 2 as, P1-P₂ = whL 2. Take f=0.024 for your first assumption 3. Make only two iterations 4. Answer should be in decimal value with two decimal places L

Water at a temperature of 25°C flows through a horizontal cast iron pipe (as shown in the following figure) at 0.0314 m³/s. Determine the smallest diameter pipe (in mm) if the allowed pressure drop over a length, L-223 m is to be no more than 80 kPa. Take pw = 997.1 kg/m³ and w = 0.898(10-6) m²/s, and roughness height = 0.00026 m. Note: 1. Take pressure drop at section 1 and section 2 as, P1-P₂ = whL 2. Take f=0.024 for your first assumption 3. Make only two iterations 4. Answer should be in decimal value with two decimal places L

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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Concept explainers

Dimensional homogeneity

The term dimensional homogeneity means that in an equation, the dimensions of each term on both sides are equal, which means the dimensions of the left-hand side (LHS) of an equation are similar to the dimensions of the right-hand side (RHS). For a dimensionally homogeneous equation, the powers of fundamental dimensions will be identical on both sides of the equation.

Question

Water at a temperature of 25°C flows through a horizontal cast iron pipe (as shown in the following figure) at 0.0314 m³/s. Determine the smallest diameter pipe (in mm) if the
allowed pressure drop over a length, L=223 m is to be no more than 80 kPa. Take pw = 997.1 kg/m³ and w = 0.898(10-6) m²/s, and roughness height = 0.00026 m.
Note:
1. Take pressure drop at section 1 and section 2 as, P1-P2 = yw hL
2. Take f = 0.024 for your first assumption
3. Make only two iterations
4. Answer should be in decimal value with two decimal places
L

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