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Ambient air flows over a heated slab having flat, top surface at y = 0. The local temperature (in Kelvin) profile within the thermal boundary layer is given by T (y ) = 300+ 200 exp(−5 y ) where y is the distance measured from the slab surface in meters. If the thermal conductivity of air is 1.0 W/mK and that of the slab is 100  W/mK, then the magnitude of temperature gradient [dt/dy] within the slab at y = 0 is _______ K/m (round off to the nearest integer).
    Correct answer is '10'. Can you explain this answer?
    Most Upvoted Answer
    Ambient air flows over a heated slab having flat, top surface at y = 0...
    (-0.001y)), where y is the distance from the surface of the slab in meters.

    To find the temperature at y = 0.01 m, we can substitute y = 0.01 into the equation:

    T(0.01) = 300 - 200 exp(-0.001(0.01))

    Simplifying the equation:

    T(0.01) = 300 - 200 exp(-0.00001)

    Using a calculator or computer software, we can find the numerical value for exp(-0.00001) to be approximately 0.99999.

    T(0.01) = 300 - 200(0.99999)

    T(0.01) = 300 - 199.998

    T(0.01) ≈ 100.002 K

    Therefore, the temperature at y = 0.01 m is approximately 100.002 Kelvin.
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    Ambient air flows over a heated slab having flat, top surface at y = 0...
    Given : 
    kair = 1W /mK
    kslab = 100 W/mK



    = - 10 K/m
    Magnitude of temperature gradient = 10 K/m . 
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    Ambient air flows over a heated slab having flat, top surface at y = 0. The local temperature (in Kelvin) profile within the thermal boundary layer is given by T (y ) = 300+ 200 exp(−5 y ) where y is the distance measured from the slab surface in meters. If the thermal conductivity of air is 1.0 W/mK and that of the slab is 100 W/mK, then the magnitude of temperature gradient [dt/dy]within the slab at y = 0 is _______K/m (round off to the nearest integer).Correct answer is '10'. Can you explain this answer?
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    Ambient air flows over a heated slab having flat, top surface at y = 0. The local temperature (in Kelvin) profile within the thermal boundary layer is given by T (y ) = 300+ 200 exp(−5 y ) where y is the distance measured from the slab surface in meters. If the thermal conductivity of air is 1.0 W/mK and that of the slab is 100 W/mK, then the magnitude of temperature gradient [dt/dy]within the slab at y = 0 is _______K/m (round off to the nearest integer).Correct answer is '10'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about Ambient air flows over a heated slab having flat, top surface at y = 0. The local temperature (in Kelvin) profile within the thermal boundary layer is given by T (y ) = 300+ 200 exp(−5 y ) where y is the distance measured from the slab surface in meters. If the thermal conductivity of air is 1.0 W/mK and that of the slab is 100 W/mK, then the magnitude of temperature gradient [dt/dy]within the slab at y = 0 is _______K/m (round off to the nearest integer).Correct answer is '10'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Ambient air flows over a heated slab having flat, top surface at y = 0. The local temperature (in Kelvin) profile within the thermal boundary layer is given by T (y ) = 300+ 200 exp(−5 y ) where y is the distance measured from the slab surface in meters. If the thermal conductivity of air is 1.0 W/mK and that of the slab is 100 W/mK, then the magnitude of temperature gradient [dt/dy]within the slab at y = 0 is _______K/m (round off to the nearest integer).Correct answer is '10'. Can you explain this answer?.
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