السلام عليكم ورحمة الله وبركاته
اتمنى من الجميع مساعدتي في حل هذه المسألة قبل يوم الاثنين وهذه المسألة موجودة في الباب الثالث من الكتاب التالي:
chemical engineering fluid mechanics by Darby
You have a sample of a sediment that is non-Newtonian. You measure its
viscosity in a cup-and-bob viscometer that has a cup radius of 3.0 cm, a bob radius of 2.5 cm, and a length of 5 cm. At a rotational speed of 10 rpm the torque transmitted to the bob is 700 dyn cm, and at 100 rpm the torque 2500dyn cm
(a) What is the viscosity of the sample?
(b) Determine the values of the model parameters that represent the sediment viscous properties if it is represented by (1) the power law model or (2) the Bingham plastic model.
(c) What would the flow rate of the sediment be (in cm3/s) in a 2 cm diameter tube, 50m long, that is subjected to a differential pressure driving force of 25psi (1) assuming that the power law model applies? (2) assuming that the Bingham plastic model applies? Which of these two answers do you think is best, and why?