An experiment is performed to measure heat transfer for air at 27 C (Pr 0.707) which...
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An experiment is performed to measure heat transfer for air at 27 °C (Pr 0.707) which flows normal to a cylinder of diameter D that is maintained at a constant temperature. The following Nusselt numbers are measured as a function of the Reynolds number based on cylinder diameter: Nu, 33.0 51.0 78.0 Rep 5,000 10,000 20,000 It is desired to fit a curve to the experimental data of the following form, using the least-squares method: Nu, = CRe (1) Pr In this instance C and m are constant coefficients. Consider the following: i) Log-linearize Eq. (1) by taking the natural logarithm of both sides, such that Y = MX + B. Complete the following table: Σχ ΣΥ Σχ ΣχΥ Based on part (i), solve the resulting 2 x 2 matrix equation to calculate numerical values for the intercept B and the slope M. An experiment is performed to measure heat transfer for air at 27 °C (Pr 0.707) which flows normal to a cylinder of diameter D that is maintained at a constant temperature. The following Nusselt numbers are measured as a function of the Reynolds number based on cylinder diameter: Nu, 33.0 51.0 78.0 Rep 5,000 10,000 20,000 It is desired to fit a curve to the experimental data of the following form, using the least-squares method: Nu, = CRe (1) Pr In this instance C and m are constant coefficients. Consider the following: i) Log-linearize Eq. (1) by taking the natural logarithm of both sides, such that Y = MX + B. Complete the following table: Σχ ΣΥ Σχ ΣχΥ Based on part (i), solve the resulting 2 x 2 matrix equation to calculate numerical values for the intercept B and the slope M.
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Related Book For
Numerical Methods for Engineers
ISBN: 9780071244299
5th Edition
Authors: Steven C. Chapra, Raymond P. Canale
Posted Date:
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