Explanation Given information: The speed of air is 35.0 m / s and the temperature of air is 30 ° C . Write the expression for the critical Reynolds number. R e x , critical = ρ V x critical μ ...... (I) Here, the density is ρ , the velocity is V the critical location where transition takes place is x critical and the dynamic viscosity is μ . Calculation: Refer to the table 1.6 "properties of air" to obtain the value of density of air as 1.164 kg / m 3 and the dynamic viscosity of air and 1.872 × 10 − 5 pa ⋅ s . Substitute 1.164 kg / m 3 for ρ , 35 m / s for V 1.872 × 10 − 5 pa ⋅ s for μ and 1 × 10 5 for R e x , critical in Equation (I). 1 × 10 5 = ( 1.164 kg / m 3 ) ( 35 m / s ) x critical ( 1.872 × 10 − 5 pa ⋅ s ) 1 × 10 5 = ( 40.74 kg / m 2 ⋅ s ) x critical ( 1.872 × 10 − 5 pa ⋅ s ) ( 1 N ⋅ s / m 2 pa ⋅ s ) ( 1 kg ⋅ m / s 2 1 N ) 1 × 10 5 = ( 40.74 kg / m 2 ⋅ s ) x critical ( 1.872 × 10 − 5 kg / m ⋅ s ) x critical = ( 1 × 10 5 ) ( 1.872 × 10 − 5 kg / m ⋅ s ) ( 40.74 kg / m 2 ⋅ s ) x critical = ( 1.872 kg / m ⋅ s ) ( 40.74 kg / m 2 ⋅ s ) = 0.0459 m ( 100 cm 1 m ) = 4

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Chapter 10, Problem 103P

To determine

The location where the boundary layer begins the transition process towards the turbulence.

The location where the boundary layer becomes fully turbulent.

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Chapter 10, Problem 102P

Chapter 10, Problem 104P

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The location where the boundary layer begins the transition process towards the turbulence. The location where the boundary layer becomes fully turbulent.

Solution Summary: The author calculates the critical Reynolds number using the table 1.6 "properties of air".

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The location where the boundary layer begins the transition process towards the turbulence.

The location where the boundary layer becomes fully turbulent.