Anum Tanveer1, Mair Khan2, T Salahuddin3, M Y Malik4, Farzana Khan5. 1. Department of Mathematics, Mirpur University of Science and Technology (MUST), Mirpur 10250, Pakistan. Electronic address: anum@math.qau.edu.pk. 2. Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan. Electronic address: mair.khan@math.qau.edu.pk. 3. Department of Mathematics, Mirpur University of Science and Technology (MUST), Mirpur 10250, Pakistan. 4. Research Center for Advanced Materials Science (RCAMS), King Khalid University, Abha 61413, Saudi Arabia; Department of Mathematics, College of Sciences, King Khalid University, Abha 61413, Saudi Arabia. 5. Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan.
Abstract
OBJECTIVE: The flow kinetics generated with a pulsatile wave that travel along the channel has prime relevance in various processes in physiology and industry. The aim here is to investigate such phenomenon with Bingham fluid with chemically reacting species in terms of their homogeneous and heterogeneous characteristics. METHOD: To formulate the mathematical descriptions Bingham fluid with heat and mass equations is accounted. Using the similarity solutions, the proposed leading partial differential equations of the flow phenomena transferred into the nonlinear ordinary differential equations and boundary conditions are solved analytically. Such considerations perceive prime importance in medicine and genetics where heterogeneity in a cell makes several diseases difficult to execute. RESULTS: Further the physical aspect of human tabular organs i.e., porosity in a medium is retained in the analysis. The utility of magnetic field in reference to medicine is employed. The walls are considered flexible. The whole problem is set to lubrication approach for simplification of resulting system. The attained results are tested on physical grounds by plotting graphs. CONCLUSION: It is analyzed that the Hartman number and porosity parameter reduce the velocity and temperature profiles. The elastic wall parameters E1 and E2 enhances both the velocity and temperature fields while E3 enrolls an adverse effect.
OBJECTIVE: The flow kinetics generated with a pulsatile wave that travel along the channel has prime relevance in various processes in physiology and industry. The aim here is to investigate such phenomenon with Bingham fluid with chemically reacting species in terms of their homogeneous and heterogeneous characteristics. METHOD: To formulate the mathematical descriptions Bingham fluid with heat and mass equations is accounted. Using the similarity solutions, the proposed leading partial differential equations of the flow phenomena transferred into the nonlinear ordinary differential equations and boundary conditions are solved analytically. Such considerations perceive prime importance in medicine and genetics where heterogeneity in a cell makes several diseases difficult to execute. RESULTS: Further the physical aspect of human tabular organs i.e., porosity in a medium is retained in the analysis. The utility of magnetic field in reference to medicine is employed. The walls are considered flexible. The whole problem is set to lubrication approach for simplification of resulting system. The attained results are tested on physical grounds by plotting graphs. CONCLUSION: It is analyzed that the Hartman number and porosity parameter reduce the velocity and temperature profiles. The elastic wall parameters E1 and E2 enhances both the velocity and temperature fields while E3 enrolls an adverse effect.