HEAT+MASS TRANSFER:FUND..(LL)-W/CONNECT
HEAT+MASS TRANSFER:FUND..(LL)-W/CONNECT
6th Edition
ISBN: 9781260699326
Author: CENGEL
Publisher: MCG
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Chapter 5, Problem 1CP
To determine

Will the analytical solution to the engineering problem disappear?

Expert Solution & Answer
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Answer to Problem 1CP

Analytical solutions to engineering problems are not likely to disappear.

Explanation of Solution

Analytical Solution:

  • The analytical approach is the one that teachers and industrial designers utilize the most to address engineering challenges.
  • It is a traditional strategy that consistently produces correct results.
  • An analytical solution entails putting the issue into a clear form and computing the precise solution.
  • Making educated assumptions about the answer and determining whether the issue is sufficiently resolved to end.
  • Insight into the issues is provided through analytical solutions, which also make it possible to see how much the solutions depend on certain inputs.
  • They also make it possible to quickly solve problems and validate numerical codes.
  • Engineers must know how to obtain analytical solutions in order to comprehend the issues they are trying to solve and interpret the results they receive.
  • They must also be aware of the limitations of computers and software in order to avoid mistakes.

Conclusion:

The statement that finding analytical answers to engineering problems will eventually vanish from engineering courses won't be accurate.

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A converging elbow (see the figure below) turns water through an angle of 135° in a vertical plane. The flow cross section diameter is 400 mm at the elbow inlet, section (1), and 200 mm at the elbow outlet, section (2). The elbow flow passage volume is 0.2 m³ between sections (1) and (2). The water volume flowrate is 0.1 m³/s and the elbow inlet and outlet pressures are 140 kPa and 90 kPa. The elbow mass is 11 kg. Calculate the (a) horizontal (x direction) and (b) vertical (z direction) anchoring forces required to hold the elbow in place. D₂- Section (1)- D₁ = 400 mm 135° 200 mm Section (2) (a) Fx= i 20809.96 N (b) Fz= i -120265 N
2: A rectangular aluminum block is loaded uniformly in three directions. The loadings are as follows:a 50 kN total resulting compressive load in the x-direction, a 200 kPa uniformly distributed tensile load in they-direction, and a 0.03 MN total resulting tensile load in the z-direction. The block has the following dimensions:L = 1 m, b = 20 cm, h = 350 mm. Use E = 70 GPa and ν = 0.25.Determine the strain in the x and y axes respectively. For the strain in the y-direction to be equal to 0, how much uniformly distributed load inthe surface of y-direction should be added? (+ for tensile, - for compressive)  Answers: 5 -1.122 x10-5 / 3 decimals 6 5.102 x10-6 / 3 decimals 7 -0.357 MPa / 3 decimals
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Chapter 5 Solutions

HEAT+MASS TRANSFER:FUND..(LL)-W/CONNECT

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