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A step function is used to represent the heat-transfer coefficient in terms of the quenching time.
Our key result is a closed-form expression for the skin friction coefficient in terms of frictional Reynolds (or Kármán) number in turbulent regime, the viscosity ratio between the fluid in and above the features, and their geometrical properties.
A viscosity approximation is used to express the diffusion coefficient in terms of the viscosities of the helium gas and the iron vapor.
For ground vibration attenuation, field measurement data are used for the back calculation of the attenuation coefficient in terms of their geological conditions.
An explicit expression is also obtained for the effective heat transfer coefficient in terms of the reservoir thickness and the front propagation speed.
The application of a packet renewal mechanism at the wall is also investigated, with a fair prediction of the heat transfer coefficient in terms of the expected solid contact time at the wall.
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So this tells us the Fourier series coefficients in terms of x of t.
And the analysis equation tells us what the relationship is for the coefficients in terms of the periodic signal.
Fitted formulae for the contact buckling coefficients in terms of relative foundation stiffness and skin profile parameters are also developed.
Test results characterize the transient aerodynamic side force as well as the yawing moment coefficients in terms of these parameters.
We derive a commutator relation for the unbounded noise coefficients in terms of a geometric Killing vector condition.
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