Quiz Flashcards
The Conservation of mass (continuity) equation may be derived from the GENERAL TRANSPORT EQUATION by setting the transport variable, phi, and source term, S respectively
phi = 1
S= 0
In Fick’s law of diffusion the units of the diffusion coefficient are:
m^2/s
In an non-Newtonian fluid the shear stress is directly proportional to:
The Strain rate to the power of an exponent not equal to 1
In the Energy Equation the term responsible for viscous heating is often called:
The dissipation function
An example of a TRUE SOURCE TERM in the energy equation is:
Nuclear Fission
In the derivation of the Energy Equation the RATE OF WORK acting on the control volume surface may be express as the product of:
Force and Velocity
A model of the flow which considers a fluid element fixed in space
Eulerian
An example of a CONSTITUTIVE RELATIONSHIP is
Stokes hypothesis
The constant of proportionality in Fick’s law of Diffusion is
The mass diffusivity
The following term
duu/dx
can be used to describe
The convection of acceleration
A definition of fully developed, laminar pipe flow is as follows:
All axial gradients are zero except the pressure gradient
In the General Transport Equation the operator GRAD does the following
Converts a scalar to a vector
In the Navier-Stokes equation, a NORMAL STRESS term contains the following (where the symbols have their usual meaning)
du/dx
What does the following term represent?
mu/rho (d^2u/dx^2)
The diffusion of u in the x direction for constant viscosity
The Stokes’ relatioship for shear stress and strain-rate may be express as
txy = tyx = mu(du/dy+dv/dx)
The equality:
txy = tyx
Is true because of:
Conservation of angular momentum
Fourier’s law of conduction may be express as:
q = - kA(dT/dx)
Where the negative sign is necessary in order to
Ensure that the 2nd law of thermodynamics is upheld.
The GENERAL TRANSPORT EQUATION consists of the following terms:
Transient + Convection + Diffusion + Source
TRANny CONVicts DIe SOURly
An example of a non-Newtonian fluid is:
Blood
∇.u = 0
may be expanded into what form?
du/dx + dv/dy + dw/dz = 0
∇.u = 0
Describes what?
The steady state continuity equation for incompressible flow
An example of a Newtonian fluid is
Water, Air, Alcohol, Milk, Glycerol, Thin Motor Oil
Define Newtonian Fluid
A fluid that all viscous stresses arising in the flow are, at all points, linear to the local strain rate and rate of change of its deformation over time.
In the GENERAL TRANSPORT EQUATION what does phi mean?
Mass, Momentum, Energy, Species Concentration.
MASSive MOMENTs ENERGise SPECky Cunts
What does the transient terms in GTE mean?
Accumulation Rate of the variable, phi.
Can be expressed in terms of Convection, diffusion and source terms.