Lower Velocity Function Constants#

Lower Velocity Function Constants = {model_name} <floatlist>

Description / Usage#

This card takes the specification of the Lower-wall velocity function for the confined channel lubrication capability, or the lub_p equation. This function specifies the velocity of the Lower channel wall as a function of time. Currently two models for {model_name} are permissible:


This model invokes a squeeze/separation velocity uniformly across the entire material region, viz. the two walls are brought together/apart at a constant rate. This option requires two floating point values

  • <float1> is the velocity component in the x-direction. L/t

  • <float2> is the velocity component in the y-direction. L/t

  • <float3> is the velocity component in the z-direction. L/t (NOTE: this is usually taken as zero as it is set in the Lower Wall Height Function model)


This model implements a spatially-uniform velocity in the x-direction that is specified as a polynomial in time. The value of time may be scaled by a given scaling factor and the polynomial may have an unlimited number of terms.

  • <float1> is the time scaling factor

  • <float2-N> are the coefficients in front of the t^(i-2) term



This model invokes a wall velocity which corresponds to a rolling-motion. This model takes nine constants ???? :

  • <float1> Roll radius, L.

  • <float2> x-coordinate of axis origin, L.

  • <float3> y-coordinate of axis orgin, L.

  • <float4> z-coordinate of axis origin, L.

  • <float5> Direction angle 1 of rotation axis

  • <float6> Direction angle 2of rotation axis

  • <float7> Direction angle 3of rotation axis

  • <float8> Squeeze rate.

  • <float9> rotation rate


This model allows a unique specification of tangential motion in a lubrication shell element. Previous implementations allowed specification only in terms of coordinate direction, but this option can be used to rotate a cylinder. Five floats are required

  • <float1> x-comnponent of a vector tangential to the shell. This vector must never be normal to the shell. It is then projected onto the shell.

  • <float2> y-comnponent of a vector tangential to the shell.

  • <float3> z-comnponent of a vector tangential to the shell.

  • <float4> U1, or scalar speed of wall velocity in a direction determined by the cross product ot the tangent vector and the normal vector to the shell. (L/t)

  • <float5> U2 scalar speed component in direction normal to U1. (L/t)


Following is a sample card:

Lower Velocity Function Constants = CONSTANT {v_x= -0.001} {vy=0.00} {vz=0}

This card results in an Lower wall speed of -0.001 in the x-direction which is tangential to the substrate, thus generating a Couette component to the flow field.

Technical Discussion#

For non-curved shell meshes, most of the time they are oriented with the x-, y-, or zplane. This card is aimed at applying a tangential motion to that plane, and so one of the three components is usually zero.