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2003 Course Advanced Polymer Rheology

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Total No. of Questions : 12] [Total No. of Pages : 3 [3664] - 300 P 1375 B.E. (Polymer) ADVANCED POLYMER RHEOLOGY (2003 Course) Time : 3 Hours] [Max. Marks : 100 Instructions to the candidates: 1) All questions from Section I & II are compulsory. 2) Marks given on R.H.S. 3) Use of calculator allowed. 4) If any data is missing, assume any suitable data. SECTION - I Q1) a) b) c) d) Give egs. by which the normal stress generated in polymers can be understood. [4] Explain either continuity or Cauchys equation. [6] Give the shear rate & shear stress formulas for flow through circular, slit & annular c/s. [3] Give the velocity profile for Turbulent as well as laminar flow & explain the reason for their flat or parabolic profile. [5] OR Q2) a) b) c) Q3) a) b) Explain Navier stokes equation & its significance. [6] Explain how tensors are useful to understand Rheology. Also explain in [8] short with eg. stress tensors and strain tensors. Give classification of fluids and what are the parameters which are used [4] to study these fluids. What is meant by Reynolds number and what is its significance. Derive the equation giving relation between Zmax and Reynolds no. [8] Give equation for Ellis model and explain all the terms in its equation. [8] OR Q4) a) For a flow described by Ellis model, w = 20 N/m2. Calculate the velocity at the centre for the flow through a 10 mm diameter tube, zero shear viscosity and 1 2 value. = 1.707, 0 = 2.89 m2/NS & 1 = 0.28 m2/NS. [4] P.T.O.

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