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Questions and Answers
What challenge arises in the mathematical formulation of multiphase flows when inter-facial surfaces are present?
What challenge arises in the mathematical formulation of multiphase flows when inter-facial surfaces are present?
Difficulty in formulating differential balances for the set of sub-regions
How can a multiphase flow be conceptually considered to overcome the challenge of differential balances?
How can a multiphase flow be conceptually considered to overcome the challenge of differential balances?
As a field of sub-regions of single phase flow with moving and varying boundary conditions
What is the goal of employing proper averaging in a multiphase flow model?
What is the goal of employing proper averaging in a multiphase flow model?
To obtain mean values of fluid motions and eliminate local instantaneous fluctuations
What are the difficulties arising in a multiphase flow model due to large discontinuities of properties across an interface?
What are the difficulties arising in a multiphase flow model due to large discontinuities of properties across an interface?
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Why does the differential balance not hold for the set of sub-regions in a multiphase flow?
Why does the differential balance not hold for the set of sub-regions in a multiphase flow?
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How is the unifying approach towards a multiphase flow model achieved?
How is the unifying approach towards a multiphase flow model achieved?
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What are the coefficients CD, CM, CH, CLR, and CLS in the BBO equation?
What are the coefficients CD, CM, CH, CLR, and CLS in the BBO equation?
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What happens to the coefficients CD, CM, CH, CLR, and CLS in the creeping flow regime when the particle is spherical?
What happens to the coefficients CD, CM, CH, CLR, and CLS in the creeping flow regime when the particle is spherical?
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What is the reduced form of the BBO equation (2.120) when the particle phase is much denser than the fluid phase?
What is the reduced form of the BBO equation (2.120) when the particle phase is much denser than the fluid phase?
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In the MRG equation, what terms are included in the similar extension as in the BBO equation?
In the MRG equation, what terms are included in the similar extension as in the BBO equation?
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How can the velocity field previously defined in Eqs.(2.10a) and (2.10b) be verified to satisfy mass conservation?
How can the velocity field previously defined in Eqs.(2.10a) and (2.10b) be verified to satisfy mass conservation?
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What does the Stokes streamfunction ψ(r, θ) represent in the context of the velocity field defined in Eqs.(2.10a) and (2.10b)?
What does the Stokes streamfunction ψ(r, θ) represent in the context of the velocity field defined in Eqs.(2.10a) and (2.10b)?
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Who proposed the drag coefficient for a rigid sphere as derived by van Dyke?
Who proposed the drag coefficient for a rigid sphere as derived by van Dyke?
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What is the form of van Dyke's drag coefficient for a rigid sphere?
What is the form of van Dyke's drag coefficient for a rigid sphere?
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What limitation is pointed out in PPKL's correction to Oseen's work?
What limitation is pointed out in PPKL's correction to Oseen's work?
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Who considered the matched asymptotic expansion of the full Navier-Stokes equations to derive a uniformly valid solution close to a sphere?
Who considered the matched asymptotic expansion of the full Navier-Stokes equations to derive a uniformly valid solution close to a sphere?
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In the drag coefficient equation by Goldstein, what term involves Re2?
In the drag coefficient equation by Goldstein, what term involves Re2?
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What transformation did van Dyke use to propose a drag coefficient that converges to infinity?
What transformation did van Dyke use to propose a drag coefficient that converges to infinity?
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