Explanation Given information: The boundary layer is infinitesimally thin Write the Expression for the shape factor. H = δ θ ....... (I) Here, the displacement thickness is δ ∗ and the momentum thickness is θ . Write the expression for the displacement thickness. δ ∗ = ∫ 0 y ( 1 − u U ) d y ....... (II) Here, the variable velocity is u and the stream line velocity is U . Write the expression for the momentum thickness. θ = ∫ 0 y u U ( 1 − u U ) d y ....... (III) Substituting ∫ 0 y ( 1 − u U ) d y for δ ∗ and ∫ 0 y u U ( 1 − u U ) d y for θ in Equation (I). H = ∫ 0 y ( 1 − u U ) d y ∫ 0 y u U ( 1 − u U ) d y ....... (IV) Calculation: Apply L'hospital rule in Equation (IV) between the limit u approaches to U

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Chapter 10, Problem 89P

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The minimum possible value of shape factor.

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Chapter 10, Problem 88P

Chapter 10, Problem 90P

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The minimum possible value of shape factor.

Solution Summary: The author explains the L'hospital rule in Equation (IV) between the limit u approaches to U.

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