A fluid flows steadily from left to right through the duct shown in Figure P4.44. Another fluid of a different density enters from a second duct at right angles to the first. The two fluids mix together and at station 3 the resultant fluid has a uniform composition. This mixed fluid then exits without loss to atmosphere through a contraction with no further change in density. At stations 1, 2, 3 and 4 the flow properties and parameters are constant over their respective areas. Find the pressure p1 in terms of ρ1, A1 and U1. Ignore the effect of gravity. Assume U2 = 2U1, ρ2 = 3ρ1, ρ3 = 2ρ1, ρ3 = ρ4, A2 = 1 4A1, A1 = A3, and A4 = 1 4A1.
A fluid flows steadily from left to right through the duct shown in Figure P4.44. Another fluid of a different density enters from a second duct at right angles to the first. The two fluids mix together and at station 3 the resultant fluid has a uniform composition. This mixed fluid then exits without loss to atmosphere through a contraction with no further change in density. At stations 1, 2, 3 and 4 the flow properties and parameters are constant over their respective areas. Find the pressure p1 in terms of ρ1, A1 and U1. Ignore the effect of gravity. Assume U2 = 2U1, ρ2 = 3ρ1, ρ3 = 2ρ1, ρ3 = ρ4, A2 = 1 4A1, A1 = A3, and A4 = 1 4A1.
Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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A fluid flows steadily from left to right through the duct shown in Figure P4.44. Another fluid of a different density enters from a second duct at right angles to the first. The two fluids mix together and at station 3 the resultant fluid has a uniform composition. This mixed fluid then exits without loss to atmosphere through a contraction with no further change in density. At stations 1, 2, 3 and 4 the flow properties and parameters are constant over their respective areas. Find the pressure p1 in terms of ρ1, A1 and U1. Ignore the effect of gravity. Assume U2 = 2U1, ρ2 = 3ρ1, ρ3 = 2ρ1, ρ3 = ρ4, A2 = 1 4A1, A1 = A3, and A4 = 1 4A1.
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