Research Article
On the Motion Past a Slip-Stick Sphere and a Shear Free Sphere in a Viscous Fluid
Md Kamran Hussain Chowdhury,
Sujit Kumar Sen,
Anjan Kumar Chowdhury,
Mohammad Jalal Ahammad*
Issue:
Volume 9, Issue 2, April 2024
Pages:
34-42
Received:
14 January 2024
Accepted:
18 March 2024
Published:
2 April 2024
Abstract: The theoretical development of the complex fluid flows such as more than one obstacle with different shapes have great interest for scientists to understand flow phenomena and verify the model or approximate solution. The complex physical properties due to a uniform streaming motion past two fixed spheres is investigated having one with shear stress and another being shear stress-free. This study concerns analytical technique of a steady incompressible viscous fluid past to two fixed spheres. The Gegenbaur function and associated Legendre polynomials is used to derive the solution that simplify the process of the theoretical calculations. The mathematical expression for the flow fields are obtained in terms of stream functions by Gegenbaur function and associated Legendre polynomials. The physical properties of interest such as the Stokes stream function, the stress and its drag are calculated. It is understandable that for the uniform streaming motion around a sphere with the stress and its drag are affected owing to the presence of another stress-free are analyzed. The present result can be considered as a generalized by making other established results as a corollary of this solution. This theoretical study helps to the numerical or computational work for the verification of their approximated results of interest.
Abstract: The theoretical development of the complex fluid flows such as more than one obstacle with different shapes have great interest for scientists to understand flow phenomena and verify the model or approximate solution. The complex physical properties due to a uniform streaming motion past two fixed spheres is investigated having one with shear stres...
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Research Article
Rheological Properties of Bentonite/Polymer Based Drilling Fluid Under Different pH Conditions
Hocine Ouaer*
Issue:
Volume 9, Issue 2, April 2024
Pages:
43-49
Received:
4 March 2024
Accepted:
18 March 2024
Published:
2 April 2024
Abstract: To success the drilling operations, different criteria must be taken in account. One of the most important criterion is the design and performance of drilling fluids, which is greatly related to their rheological properties. Furthermore, it is crucial to study the rheological behavior of water-based drilling fluid based on bentonite/polymer. The current study aims at addressing the influence of pH on the rheological properties of bentonite/polymer based drilling fluid, furthermore, recommending the best range of pH, which provides high performance and safety of this drilling fluid. The obtained results showed that shear stress increased when increasing pH. It can be also noticed that the plastic viscosity (PV) and yield point (YP) of the drilling fluid 1 (F1) increased in high pH region and decreased in the other pH region. The plastic viscosity of the drilling fluid 2 (F2) is not significant. The higher value of YP/PV is located at a pH of 8.44, and this ratio decreases when increasing pH. These findings proved that keeping pH superior to 7 and inferior to 12 resulted in good rheological properties of drilling fluids that will help to remove the rock cuttings from the borehole to surface, and minimize the total cost of the drilling operations.
Abstract: To success the drilling operations, different criteria must be taken in account. One of the most important criterion is the design and performance of drilling fluids, which is greatly related to their rheological properties. Furthermore, it is crucial to study the rheological behavior of water-based drilling fluid based on bentonite/polymer. The cu...
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