Step 1: Understanding the Problem:
The question asks for the correct rheological definition of a "rheopectic" fluid, which exhibits time-dependent non-Newtonian flow behavior.
Step 2: Detailed Explanation:
• Time-Dependent Fluid Rheology: Some fluids exhibit viscosity changes that depend not only on the shear rate but also on the duration of the applied shear stress. These are classified into:
• Thixotropic Fluids: Viscosity decreases over time when a constant shear stress is applied. Common in ketchup, mayonnaise, and paint. This matches option (A).
• Rheopectic (Anti-thixotropic) Fluids: Viscosity increases over time when a constant shear stress is applied. The fluid solidifies or thickens upon prolonged agitation but returns to a lower-viscosity state when allowed to rest. Examples include print inks, gypsum suspensions, and certain starch pastes. This matches option (B).
• Why Other Options are Incorrect:
• Viscosity remains constant with a yield stress: Describes a Bingham Plastic or viscoplastic fluid (e.g., chocolate paste), corresponding to option (C).
• Viscosity increases as shear rate increases: Describes a time-independent Dilatant (shear-thickening) fluid (e.g., concentrated corn starch suspension), corresponding to option (D).
Step 3: Final Answer:
A rheopectic fluid is defined by an increase in viscosity over time under a constant shear rate, corresponding to option (B).