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Theory Manual Version 3.6
 Subsection 7.2.9: Biphasic Stick Up Subsection 7.2.9: Biphasic Stick Subsubsection 7.2.9.2: Discretization 

7.2.9.1 Linearization

In stick parametric coordinates are fixed on both surfaces, hence directional derivatives of , , , and are given by From the definitions of eq.(7.2.3.2-2) and eq.(7.2.4-1), and utilizing eq.(7.2.9.1-1), it follows that Similarly, application of eq.(7.2.9.1-1) to Eqs.(7.2.4-4)-(7.2.4-5) yields The biphasic contact integral of eq.(7.2.1-1), written over an invariant domain, can then be linearized directly to find Note that for convenience, terms in eq.(7.2.9.1-4) have been grouped differently than in eq.(7.2.1-5).
 Subsection 7.2.9: Biphasic Stick Up Subsection 7.2.9: Biphasic Stick Subsubsection 7.2.9.2: Discretization