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A widely applicable type of variational integral—I: Development

✍ Scribed by J.C. Slattery

Publisher
Elsevier Science
Year
1964
Tongue
English
Weight
463 KB
Volume
19
Category
Article
ISSN
0009-2509

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✦ Synopsis

A generalization of a previous treatment for dissipative systems is suggested which allows a variational integral to be formulated for any set of coupled differential equations which are to be solved simultaneously. This is illustrated for a coupled solution of the equations of motion and energy for an incompressible, simple non-Newtonian fluid. As special cases, individual solutions of the momentum and energy equations are discussed.

📜 SIMILAR VOLUMES

A widely applicable type of variational
A widely applicable type of variational integral—II: Newtonian flow past a sphere
✍ R.W. Flumerfelt; J.C. Slattery 📂 Article 📅 1965 🏛 Elsevier Science 🌐 English ⚖ 575 KB

The auxiliary variational method presented in the previous paper is applied to the solution of the steady-state flow of an incompressible Newtonian fluid past a sphere. The variational method is used to evaluate unknown coefficients in an initially postulated stream function. A number of solutions,