Applied Mathematics in Plastic Industry
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Applied Mathematics in Plastic Industry Syllabus — Unit-wise Content
The official GTU curriculum for Applied Mathematics in Plastic Industry (subject code 2142305) as prescribed for Plastic · Semester 4 divides the course into 5 units, covering 54 listed topics. The unit-wise breakdown below is read from the GTU syllabus document for this subject code, so you can check what the course actually covers before deciding which papers to attempt.
Download the official syllabus PDF (2142305)Unit 1 FLOW OF PLASTIC MATERIALS
- General Behaviour of plastic melts
- Isothermal flow in channels [ Non Newtonian Fluids]
- Shear stress v/s
- Shear rate
- Pressure drop calculations
- Elastic Behaviour
- Swelling ratios due to shear stress / tensile stresses
- Experimental methods to obtain flow data[ Cone and plate viscometer
- Concentric Cylinder Viscometer
- Ram Extruder]
- Pressure drop calculations in Injection Moulding
- Compressions Moulding
- Rotational Moulding operations, etc
- Numericals on Pressure drop calculations. 10
Unit 2 Heat Transfer Phenomena in Plastic Processing Operations
- Fourier number
- Temperature Gradient
- Calculations on melt temperature in Injection moulding
- Calculations on time taken by moulding to solidify
- flow length of power law fluid
- Enthalpy calculations for Injection moulding
- Blow moulding and Extrusion operations. 14
Unit 3 ACTUAL POLYMER CHAINS
- radius of gyration of a linear ideal chain
- radius of gyration of rod polymer
- radius of gyration of an ideal branched polymer[ kramers theorem]
- Distribution of end to end vectors
- size of chain : chain length and contour length calculations, etc
- Mayer f-function and excluded volume
- Flory theory of a polymer in good solvent
- calculations on polydispersity index
- Weight average and number average molecular weight calculations for polymers
- Poisson ‘s number fraction distribution. 10
Unit 4 Visco Elastic Behaviour and Mechanical Properties
- Stress Strain behaviour of plastic materials
- long term and short term tests
- creep behaviour
- Design methods for plastics using Deformation Data
- Isometric and Isochronous graphs
- Pseudo elastic design method
- beam calculations
- Apparent viscosity
- Power law index
- Mathematical Models of Viscoelastic Behaviour i.e
- Maxwell Model
- Kelvin Voigt Model
- Numerical related to these models.Creep Curves
- Calculatios of Modulus
- strength of composites for Fiber reinforced materials. 10
Unit 5 Applications of Mathematics in Processing Operations
- Calculations of Drag flow
- Pressure flow and Leakage flows in Single and Twin Screw Extruder Machines
- Extruder Volumetric Efficiency
- Power requirements calculations
- Pressure drop calculations in Extrusion process
- Pressure losses in runners, and gate in injection moulding
- Analysis of Blow moulding operation
- Force calculations in compression moulding operation
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