(a) Show by dimensional analysis that the drag D on a sphere diameter d moving constant velocity v through a stagnant fluid of density p and dynamic viscosity u may be expressed as D=H² (pvd) Demonstrate that Stokes' law D =3лµvd is consistent with this expression and state the circumstances that under which Stokes' law is valid.
(a) Show by dimensional analysis that the drag D on a sphere diameter d moving constant velocity v through a stagnant fluid of density p and dynamic viscosity u may be expressed as D=H² (pvd) Demonstrate that Stokes' law D =3лµvd is consistent with this expression and state the circumstances that under which Stokes' law is valid.
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Transcribed Image Text:(a) Show by dimensional analysis that the drag D on a sphere diameter d moving constant velocity v
through a stagnant fluid of density p and dynamic viscosity u may be expressed as
1²% of poved)
P μ
Demonstrate that Stokes' law D =3лµvd is consistent with this expression and state the
circumstances that under which Stokes' law is valid.
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