The shear stress- shear strain rate graph for a Newtonian fluid is aa...
Newtonian fluids are defined as fluids for which the shear stress is linearly proportional to the shear strain rate. Newtonian fluids are analogous to elastic solids (Hooke’s law: stress proportional to strain). Any common fluids, such as air and other gases, water, kerosene, gasoline, and other oil-based liquids, are Newtonian fluids.
Fluids for which the shear stress is not linearly related to the shear strain rate are called non- Newtonian fluids. Examples include slurries and colloidal suspensions, polymer solutions, blood, paste, and cake batter.
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The shear stress- shear strain rate graph for a Newtonian fluid is aa...
Explanation:
Newtonian Fluid Behavior:
- Newtonian fluids exhibit linear behavior in the shear stress-shear strain rate graph.
- The shear stress is directly proportional to the shear strain rate, resulting in a straight line relationship.
Reason for Straight Line Graph:
- In Newtonian fluids, the viscosity remains constant regardless of the shear rate.
- This leads to a constant slope in the shear stress-shear strain rate graph, resulting in a straight line.
Characteristics of Newtonian Fluids:
- Examples of Newtonian fluids include water, glycerin, and mineral oil.
- They have a constant viscosity and exhibit linear flow behavior.
Practical Implications:
- The linear relationship in the shear stress-shear strain rate graph simplifies the analysis of flow properties in Newtonian fluids.
- This behavior is useful in various industrial applications where precise control of viscosity is required.
Conclusion:
- The shear stress-shear strain rate graph for a Newtonian fluid is a straight line due to the constant viscosity of these fluids. This linear behavior simplifies the analysis and application of Newtonian fluids in various industries.