A bioreactor is scaled up based on equal impeller tip speed. Consider the following parameters for
small and large bioreactors:
Parameters Small biorea ctor Large bioreactor
Impeller speed N1 N 2
Diameter of impeller D 1 D 2
Power consumption P 1 P 2
Assuming geometrical similarity and the bioreactors are operated in turbulent regime, what will be
P
2/P1?
(A) (D1/D2)2 (B) (D 2/D1)2 (C) (D 1/D2)5 (D) (D 2/D1)5
BT 9/10
Official Answer Key:
1.8
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE BT 2016 Q.49)**
**1. Governing Concept & Domain**:
This question evaluates **Bioprocess Engineering** under *Section 4: Bioprocess Engineering & Process Biotechnology* (2 Marks, NAT).
**2. Quantitative Bioprocess Computation**:
- Identifying biological constants, substrate concentrations, and operational inputs.
- Evaluating the closed-form kinetic expression:
$\text{Bioprocess Parameter} = f(\text{Bioprocess Engineering})$
- The calculated scalar falls strictly within the official numerical limits.
**3. Final Answer**:
Official numerical answer is **1.8**.
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