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An isothermal and incompressible flow of a magnetohydrodynamici (MHD) viscoplastic fluid has been examined while passing through the area among two co-rotating rolls. Applying lubrication approximation theory (LAT), the basic flow equations of mass and momentum are derived and subsequently non-dimensionalized. Exact solutions of velocity and pressure gradient distributions are evaluated. To evaluate the complex integrals, Trapezoidal rule for numerical integration is used. The significant engineering parameters like, the roll separation force, maximum pressure and the power transferred to the fluid by the rolls, are also numerically computed. The results demonstrate that the velocity field and pressure gradient are significantly affected due to the presence of the viscoplastic parameter. Magnetic field is found to be the controlling parameter for power input, separating force, and distance among attachment and detachment points, being extremely beneficial for the roll coating process. It has been learnt through this study that MHD can be an effective tool in the coating industry to regulate the engineering quantities in which coating thickness is the most important.
M. Zahid; M. Zafar; I. Siddique; Mogtaba A.Y. Mohammed; M.A. Rana; Waseem Asghar Khan. Modeling of an isothermal flow of a magnetohydrodynamic, viscoplastic fluid during forward roll coating process. Alexandria Engineering Journal 2021, 60, 5591 -5602.
AMA StyleM. Zahid, M. Zafar, I. Siddique, Mogtaba A.Y. Mohammed, M.A. Rana, Waseem Asghar Khan. Modeling of an isothermal flow of a magnetohydrodynamic, viscoplastic fluid during forward roll coating process. Alexandria Engineering Journal. 2021; 60 (6):5591-5602.
Chicago/Turabian StyleM. Zahid; M. Zafar; I. Siddique; Mogtaba A.Y. Mohammed; M.A. Rana; Waseem Asghar Khan. 2021. "Modeling of an isothermal flow of a magnetohydrodynamic, viscoplastic fluid during forward roll coating process." Alexandria Engineering Journal 60, no. 6: 5591-5602.
The correlation coefficient between two variables is an important aspect of statistics. The accuracy of assessments of correlation relies on information from a set of discourses. Data collected in statistical studies are often full of exceptions. Pythagorean fuzzy soft sets (PFSS) are a parametrized family of extended Pythagorean fuzzy sets (PFS). They comprise a generalization of intuitionistic fuzzy soft sets which may be used to accurately assess deficiencies and uncertainties in evaluations. PFSS can accommodate uncertainty more competently than intuitionistic fuzzy soft sets and are the most important strategy when dealing with fuzzy information in decision-making processes. Herein, the concept and characteristics of correlation coefficients and the weighted correlation coefficients in PFSS are discussed. We also introduce the Pythagorean fuzzy soft weighted average (PFSWA) and Pythagorean fuzzy soft weighted geometric (PFSWG) operators and discuss their desirable characteristics. A prioritization technique for order preference by similarity to the ideal solution (TOPSIS) under the PFSS environment based on correlation coefficients and weighted correlation coefficients will be introduced. Through the proposed methodology, a technique for decision-making is developed. Additionally, an application of the proposed TOPSIS technique is presented for green supplier selection in green supply chain management (GSCM). The practicality, efficacy, and flexibility of the proposed approach is proved through comparative analyses, drawing upon existing studies.
Rana Zulqarnain; Xiao Xin; Imran Siddique; Waseem Asghar Khan; Mogtaba Yousif. TOPSIS Method Based on Correlation Coefficient under Pythagorean Fuzzy Soft Environment and Its Application towards Green Supply Chain Management. Sustainability 2021, 13, 1642 .
AMA StyleRana Zulqarnain, Xiao Xin, Imran Siddique, Waseem Asghar Khan, Mogtaba Yousif. TOPSIS Method Based on Correlation Coefficient under Pythagorean Fuzzy Soft Environment and Its Application towards Green Supply Chain Management. Sustainability. 2021; 13 (4):1642.
Chicago/Turabian StyleRana Zulqarnain; Xiao Xin; Imran Siddique; Waseem Asghar Khan; Mogtaba Yousif. 2021. "TOPSIS Method Based on Correlation Coefficient under Pythagorean Fuzzy Soft Environment and Its Application towards Green Supply Chain Management." Sustainability 13, no. 4: 1642.
Mogtaba Mohammed; Noor Ahmed. Homogenization and correctors of Robin problem for linear stochastic equations in periodically perforated domains. Asymptotic Analysis 2020, 120, 123 -149.
AMA StyleMogtaba Mohammed, Noor Ahmed. Homogenization and correctors of Robin problem for linear stochastic equations in periodically perforated domains. Asymptotic Analysis. 2020; 120 (1-2):123-149.
Chicago/Turabian StyleMogtaba Mohammed; Noor Ahmed. 2020. "Homogenization and correctors of Robin problem for linear stochastic equations in periodically perforated domains." Asymptotic Analysis 120, no. 1-2: 123-149.