The following differential equation describes the momentum conservation in the streamwise (x) direction in a region near a surface with fluid flowing over it - this region is called a boundary layer. ди pu მე + pv. = Ju др მყ მთ a² u + fl. მყ2 where ρ is density, u is velocity in the x-direction, v is velocity in the y-direction, p is pressure, and μ is the total viscosity. Using only this equation (meaning, don't just look up the answer), find the primary dimensions and units (both SI and British) for viscosity. Show your work. Also show that the other terms in the equation are dimensionally consistent with each other.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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The following differential equation describes the momentum conservation in the streamwise (x)
direction in a region near a surface with fluid flowing over it - this region is called a boundary layer.
ди
pu
მე
+ pv.
=
Ju др
მყ მთ
a² u
+ fl.
მყ2
where ρ is density, u is velocity in the x-direction, v is velocity in the y-direction, p is pressure, and
μ is the total viscosity. Using only this equation (meaning, don't just look up the answer), find the
primary dimensions and units (both SI and British) for viscosity. Show your work. Also show that
the other terms in the equation are dimensionally consistent with each other.
Transcribed Image Text:The following differential equation describes the momentum conservation in the streamwise (x) direction in a region near a surface with fluid flowing over it - this region is called a boundary layer. ди pu მე + pv. = Ju др მყ მთ a² u + fl. მყ2 where ρ is density, u is velocity in the x-direction, v is velocity in the y-direction, p is pressure, and μ is the total viscosity. Using only this equation (meaning, don't just look up the answer), find the primary dimensions and units (both SI and British) for viscosity. Show your work. Also show that the other terms in the equation are dimensionally consistent with each other.
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