Which of the following expresses Reynolds Stephanie Saylor Foundat

Question 5 / 40: Which of the following expresses Reynolds' transport theorem?

A The volume integral of the derivative of a scalar or vector field over a time-dependent volume
is equal to the volume integral of the velocity of the field plus the surface integral of the
product of the outward boundary speed and the field.

B The derivative of the volume integral of a scalar or vector field over a time-dependent volume
is equal to the volume integral of the derivative of the field plus the surface integral of
the product of the outward boundary speed and the field.

C The derivative of the volume integral of a scalar or vector field over a time-dependent volume
is equal to the volume integral of the derivative of the divergence of the field plus the surface
integral of the product of the outward boundary speed and the field.

D The derivative of the volume integral of a scalar or vector field over a time-dependent volume
is equal to the volume integral of the derivative of the field plus the volume integral of
the product of the outward boundary speed and the field.

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Explanation:

The Reynolds transport theorem is also called a generalized Leibniz rule for integration by some. Leibniz worked some centuries earlier than Reynolds. See reading for subunit 2.5.

Quiz Home Page

https://www.jobilize.com/fluid-mechanics-mcq-quiz-by-stephanie-redfern-tuan-dinh

Fluid Mechanics ME201

Author:

Stephanie Redfern

The Saylor Foundation

USA

Access: Public Instant Grading

Attribution: Stephanie Redfern and Tuan Dinh. Fluid Mechanics. The Saylor Academy 2014, http://www.saylor.org/courses/me201/

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