Bio-mathematical analysis of electro-osmotically modulated hemodynamic blood flow inside a symmetric and nonsymmetric stenosed artery with joule heating

2021 ◽  
pp. 2150071
Author(s):  
Anber Saleem ◽  
Salman Akhtar ◽  
Sohail Nadeem
Keyword(s):  
Blood Flow ◽  
Joule Heating ◽  
Energy Equation ◽  
Flow Problem ◽  
Slip Boundary Conditions ◽  
Governing Equations ◽  
Ionic Solution ◽  
Slip Boundary ◽  
Heating Effects ◽  
Stenosed Artery

This is the first paper that explains electro-osmotically modulated hemodynamic inside a stenosed artery, considering both cases of symmetric and nonsymmetric shapes of stenosis. Blood is treated as an aqueous ionic solution. The energy equation incorporates viscous dissipation as well as Joule heating effects. Exact solutions are calculated for governing equations subject to “no slip” boundary conditions. These solutions are further discussed through graphical results. The flow pattern for symmetric and nonsymmetric stenosis is visualized by plotting streamlines for this flow problem.

scholarly journals Scientific breakdown for physiological blood flow inside a tube with multi-thrombosis

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Salman Akhtar ◽  
L. B. McCash ◽  
Sohail Nadeem ◽  
Anber Saleem
Keyword(s):  
Blood Flow ◽  
Viscous Dissipation ◽  
Energy Equation ◽  
Flow Problem ◽  
Jeffrey Fluid ◽  
Governing Equations ◽  
Notable Effect ◽  
Mathematical Equations ◽  
Mathematica Software ◽  
Molecular Conduction

AbstractThe blood flow inside a tube with multi-thromboses is mathematically investigated. The existence of these multiple thromboses restricts the blood flow in this tube and the flow is revamped by using a catheter. This non-Newtonian blood flow problem is modeled for Jeffrey fluid. The energy equation includes a notable effect of viscous dissipation. We have calculated an exact solution for the developed mathematical governing equations. These mathematical equations are solved directly by using Mathematica software. The graphical outcomes are added to discuss the results in detail. The multiple thromboses with increasing heights are evident in streamline graphs. The sinusoidally advancing wave revealed in the wall shear stress graphs consists of crest and trough with varying amplitude. The existence of multi-thrombosis in this tube is the reason for this distinct amplitude of crest and trough. Further, the viscous dissipation effects come out as a core reason for heat production instead of molecular conduction.

scholarly journals Mechanics of non-Newtonian blood flow in an artery having multiple stenosis and electroosmotic effects

2021 ◽  
Vol 104 (3) ◽  
pp. 003685042110316
Author(s):  
Salman Akhtar ◽  
Luthais B McCash ◽  
Sohail Nadeem ◽  
Salman Saleem ◽  
Alibek Issakhov
Keyword(s):  
Blood Flow ◽  
Flow Problem ◽  
Fluid Model ◽  
Casson Fluid ◽  
Viscous Effects ◽  
Heating Effects ◽  
Casson Fluid Model ◽  
Flow Through ◽  
Mathematical Equations ◽  
Mathematica Software

The electro-osmotically modulated hemodynamic across an artery with multiple stenosis is mathematically evaluated. The non-Newtonian behaviour of blood flow is tackled by utilizing Casson fluid model for this flow problem. The blood flow is confined in such arteries due to the presence of stenosis and this theoretical analysis provides the electro-osmotic effects for blood flow through such arteries. The mathematical equations that govern this flow problem are converted into their dimensionless form by using appropriate transformations and then exact mathematical computations are performed by utilizing Mathematica software. The range of the considered parameters is given as [Formula: see text]. The graphical results involve combine study of symmetric and non-symmetric structure for multiple stenosis. Joule heating effects are also incorporated in energy equation together with viscous effects. Streamlines are plotted for electro-kinetic parameter [Formula: see text] and flow rate [Formula: see text]. The trapping declines in size with incrementing [Formula: see text], for symmetric shape of stenosis. But the size of trapping increases for the non-symmetric case.

Impact of Joule heating and multiple slips on a Maxwell nanofluid flow past a slendering surface

2021 ◽  
Author(s):  
Shafiq Ahmad ◽  
Muhammmad Naveed Khan ◽  
Sohail Nadeem ◽  
Aysha Rehman ◽  
Hijaz Ahmad ◽  
...  
Keyword(s):  
Joule Heating ◽  
Concentration Distribution ◽  
Three Dimensional ◽  
Fluid Temperature ◽  
Slip Boundary Conditions ◽  
Nanofluid Flow ◽  
Slip Boundary ◽  
Maxwell Nanofluid ◽  
The Impact ◽  
Multiple Slips

Abstract This manuscript presents a study of three-dimensional MHD Maxwell nanofluid flow across a slendering stretched surface with Joule heating. The impact of binary chemical reactions, heat generation, thermal radiation, and thermophoretic effect is also taken into consideration. The multiple slip boundary conditions are utilized at the boundary of the surface. The appropriate similarity variable is used to transfer the flow modeled equations into ODEs, which are numerically solved by the utilization of the MATLAB bvp4c algorithm. The involved parameter's impact on the concentration, velocity, and temperature distribution are scrutinized with graphs. The transport rates (mass, heat) are also investigated using the same variables, with the results reported in tabulated form. It is seen that the fluid relaxation, magnetic, and wall thickness characteristics diminish the velocities of fluid. Further, the velocity, concentration, and temperature slip parameters reduce the velocities of fluid, temperature, and concentration distribution. The results are compared to existing studies and showed to be in dependable agreement.

Concentration of Samples in Microfluidic Structure Using Joule Heating Effects

2009 ◽  
Author(s):  
Zhengwei Ge ◽  
Chun Yang
Keyword(s):  
Mathematical Model ◽  
Joule Heating ◽  
Electroosmotic Flow ◽  
Scaling Analysis ◽  
Analyte Concentration ◽  
Governing Equations ◽  
Sample Concentration ◽  
Heating Effects ◽  
Concentration Enhancement ◽  
The Mathematical Model

Microfluidic concentration is achieved using temperature gradient focusing (TGF) in a microchannel with a step change in cross-section. A mathematical model is developed to describe the complex TGF processes. The proposed mathematical model includes a set of governing equations for the applied electric potential, electroosmotic flow field, Joule heating induced temperature field, and sample analyte concentration distributions as well. Scaling analysis was conducted to estimate time scales so as to simplify the mathematical model. Numerical computations were performed to obtain the temperature, velocity and sample concentration distributions. Experiments were carried out to study the effects of applied voltage, buffer concentration, and channel size on sample concentration in the TGF processes. These effects were analyzed and summarized using a dimensionless Joule number that was introduced in this study. In addition, Joule number effect in the PDMS/PDMS microdevice was compared with the PDMS/Glass microdevice. A more than 450-fold concentration enhancement was obtained within 75 seconds in the PDMS/PDMS microdevice. Overall, the numerical simulations were found in a reasonable agreement with the experimental results.

scholarly journals Numerical Simulation of Magnetohydrodynamic Influences on Casson Model for Blood Flow through an Overlapping Stenosed Artery

2021 ◽  
pp. 1016-1024
Author(s):  
Ahmed Bakheet ◽  
Esam A. Alnussairy
Keyword(s):  
Blood Flow ◽  
Flow Characteristics ◽  
Correction Method ◽  
Casson Fluid ◽  
Governing Equations ◽  
Finite Difference Technique ◽  
Stenosed Artery ◽  
Flow Phenomena ◽  
Flow Through ◽  
Unsteady Blood Flow

Magnetohydrodynamic (MHD) effects of unsteady blood flow on Casson fluid through an artery with overlapping stenosis were investigated. The nonlinear governing equations accompanied by the appropriate boundary conditions were discretized and solved based on a finite difference technique, using the pressure correction method with MAC algorithm. Moreover, blood flow characteristics, such as the velocity profile, pressure drop, wall shear stress, and patterns of streamlines, are presented graphically and inspected thoroughly for understanding the blood flow phenomena in the stenosed artery.

scholarly journals Thermal Radiation Influences on MHD Stagnation Point Stream over a Stretching Sheet with Slip Boundary Conditions

2020 ◽  
Vol 7 (2) ◽  
Author(s):  
B.S. Goud
Keyword(s):  
Boundary Conditions ◽  
Thermal Radiation ◽  
Stagnation Point ◽  
Stretching Sheet ◽  
Problem Solver ◽  
Slip Boundary Conditions ◽  
Governing Equations ◽  
Nonlinear Odes ◽  
Slip Boundary ◽  
Similarity Transformations

The present investigation manages the thermal radiation influences on MHD stagnation point stream over a stretching sheet with slip boundary conditions. The governing equations are reduced set of nonlinear ODEs with boundary conditions by using the similarity transformations and the numerical velocity and temperature distribution calculations are performed with the assistance of MATLAB in the built problem solver. The outcomes of the non-dimensional factors on velocity, temperature distributions are exhibited graphically.

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