6
Given below are two statements, one is labelled as Assertion (A) and other one labelled as Reason (R).
Assertion (A) : In natural convection flows, temperature can not be considered as a passive admixture
Reason (R) : Because in homogeneities of the temperature field in the presence of gravity give rise to significant buoyant
accelerations
In light of the above statements, choose the correct answer from the options given below.
EXPLANATION
Canopy Microclimate
- Assertion (A) is True: In natural (free) convection, temperature cannot be treated as a passive scalar (passive admixture) because local temperature variations directly alter fluid density ($\Delta \rho = -\rho \beta \Delta T$).
- Reason (R) is True: Spatial density inhomogeneities in a gravitational field generate buoyancy forces (buoyant acceleration $g \beta \Delta T$), actively coupling the temperature field to the Navier-Stokes momentum equations.
- Relationship: Because temperature-induced density gradients generate buoyancy forces that drive fluid motion, Reason (R) directly provides the physical cause for Assertion (A).
- Conclusion: Both (A) and (R) are true and (R) is the correct explanation of (A) (Option 1).
Correct option: (1) Both (A) and (R) are true and (R) is the correct explanation of (A)
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