How Do You Calculate Mass Flow Rate on an Inclined Plane?

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SUMMARY

The discussion focuses on calculating the mass flow rate of oil flowing down an inclined plane using the velocity profile defined by the equation u = [(density)(g)(sin theta) / Mu] [(hy - (0.5)y^2]. To determine the mass flow rate per unit width, integration of the velocity profile is necessary. Key variables include density, dynamic viscosity (Mu), gravitational acceleration (g), angle of inclination (theta), and height (h). The problem emphasizes the importance of understanding fluid dynamics principles in solving such homework problems.

PREREQUISITES
  • Understanding of fluid dynamics principles
  • Familiarity with integration techniques
  • Knowledge of velocity profiles in fluid flow
  • Basic concepts of mass flow rate calculations
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  • Study the derivation of mass flow rate equations in fluid dynamics
  • Learn about the integration of velocity profiles in fluid mechanics
  • Explore the effects of viscosity on flow rates in inclined planes
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Students studying fluid dynamics, engineers working on fluid flow problems, and anyone interested in the practical applications of mass flow rate calculations in inclined systems.

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so i got this HW prob, and i don't know exactly where to start,

Oil flows steadily in a thin layer down an inclined plane. The velocity profile is

u = [(density)(g)(sin theta) / Mu] [(hy - (0.5)y^2]

express the mass flow rate per unit width in terms of density, Mu, g, theta, and h


no diagram is given.
 
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If you're given a velocity profile, that's the function of velocity as you go away from the base. You're going to need to integrate to get a solution.

I'm going to move this to homework help.
 

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