Kaye, A.

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Cranfield CERES

IVI 3 8006 10057 8254 NOTE NO.134 October, 1962  THE COLLEGE OF AERONAUTICS  CRANFIE LD Non-Newtonian Flow in Incompressible Fluids  Part I A general rheological equation of state Part II Some problems in steady flow - by - A. Kaye, M.A. SUMMARY A rheological equation of state of the form, t p8.. = 2 	 S.. - 82 S-1 	 dt` P13 	 13 	 13 	 a 23R is proposed for an incompressible material. 0 is a function of J1 and J2 , the invariants of Cauchy-Green deformation tensor S.. which relates the deformation 13 at the present time t with that at some past time t'. n is also a function of t and t'. Some steady state flow problems are solved for a material obeying this equation. It is anticipated that this equation will be of some use in investigating the flow properties of concentrated polymer solutions and polymer melts. 

Non-Newtonian flow in incompressible fluids: part 1: a general rheological equation of state: part 2: some problems in steady flow

http://dspace.lib.cranfield.ac.uk/bitstream/1826/12105/1/COA_N_134_1962.pdf

Non-Newtonian flow in incompressible fluids: part 1: a general rheological equation of state: part 2: some problems in steady flow

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