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MMLU-Pro / 11796 / For a steady, turbulent, constant property, two dimensional boundarylayer-type…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

question

For a steady, turbulent, constant property, two dimensional boundarylayer-type flow over a flat plate at zero angle of approach, the velocity profile is given by u = v(y/\delta)^1^/7(1) where v = free stream velocity \delta = boundary layer thickness andthe local skin friction coefficient is given by C_f= [\tau / {(1/2)\rhoV^2}] = 0.045(ѵ /\rhoV)^1/4(2) where \tau = local shear stress \rho = density of the flowing fluid ѵ = kinematic viscosity Determine the local boundary layer thickness \delta, as a functionof x, by substituting the given equations into the integralform of the momentum equation.

category

engineering

options

  1. \(\delta= \frac{(0.37x)^2}{(Re_x)^{1/5}}\)
  2. \(\delta= \frac{(0.37x)}{(Re_x)^{1/3}}\)
  3. \delta= {(0.37x) / (Re_x)^1^/6}
  4. \(\delta= \frac{(0.47x)}{(Re_x)^{1/5}}\)
  5. \(\delta= \frac{(0.37x)}{Re_x}\)
  6. \(\delta= \frac{(0.50x)}{(Re_x)^{1/5}}\)
  7. \delta= {(0.37x) / (Re_x)^1^/5}
  8. \delta= {(0.37x) / (Re_x)^1^/4}
  9. \(\delta= \frac{(0.30x)}{(Re_x)^{1/7}}\)
  10. \delta= {(0.72x) / (Re_x)^1^/5}

src

stemez-TransportPhenomena

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Source and history

upstream_id / Original problem ID
11796
task_id
968a2ae6-6212-5688-8aae-d7f1946df7ea
task_key
default--test--11796
task_revision_id
1
config / split
default / test

Official source

initial import