- Mathematics, Magnetohydrodynamics, Acceleration, Mechanics, Heat Transfer, Thermal conduction in Nanomaterials, and 10 morePARTIAL DIFFERENTIAL EQUATION, Thermal Radiation, heat technology, Applied Mathematics and Theoretical Physics, Materials Science, Scientific Publications, Thermodynamics, Biofluid Mechanics, Biostatistics, and Biomathematicsedit
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In this work, the combined effect of slip velocity, pulsatility of the blood flow and body acceleration effect on Newtonian unsteady blood flow past an artery with stenosis and permeable wall is theoretically studied with results... more
In this work, the combined effect of slip velocity, pulsatility of the blood flow and body acceleration effect on Newtonian unsteady blood flow past an artery with stenosis and permeable wall is theoretically studied with results discussed. The magnetic field is applied to the stenosed artery with permeable walls which is inclined at a varying angle with the fluid considered to be electrically conducting non-Newtonian elastic-viscous fluid. The momentum equation was transformed from dimensional form to dimensionless form with the Frobenius power series method used to solve the axially symmetric differential momentum equation with suitable boundary conditions. For clarity of the applicability of the study, results was shown graphically with behavior of the blood flow through the artery with stenosis shown for the velocity in the axial direction, blood acceleration, wall shear stress and volumetric flow rate. Results showed that, an increase in the body acceleration Go and pulsatile pressure Pl causes an increase in the blood flow, blood acceleration, shear stress at the artery walls and volumetric flow rate. The increase in the magnetic field M causes a decrease in the blood flow velocity, blood acceleration, shear stress at the artery walls and volumetric flow rate. The increase in the artery inclination ϕ results to an increase in the blood flow velocity, wall shear stress and the volumetric flow rate but an irregular behavior in the blood acceleration while the increase in slip velocity h at the wall decreases the velocity and blood acceleration, while the shear stress at the wall increases and the volumetric flow rate decreases.
From the Google map online, Nigeria is a country located in West Africa with surrounding countries like Benin, Togo and Ghana on its west surrounding; Chad, Burkina Faso and Cameroon on its North East surrounding while Niger on the north... more
From the Google map online, Nigeria is a country located in West Africa with surrounding countries like Benin, Togo and Ghana on its west surrounding; Chad, Burkina Faso and Cameroon on its North East surrounding while Niger on the north surrounding. Nigeria comprises of 36 states and its federal capital territory called Abuja with its largest city called Lagos. Nigeria has a total land mass of 923,768 2 , i.e. 356669 square meters with its water percentage estimate at 1.4. It was recognized on the 1 st of October 1960 and the later declared a republic on the 1 st of October 1963. We will be focusing on the predicted and sensitivity growth model which is applied to model the population of Nigeria as from 2015 to 2125 using Thomas R. Malthus population growth model. The carrying capacity, sensitivity and important coefficients governing the growth of the population in Nigeria has been determined. The outcome shows that the carrying capacity for the Nigerian population is 808719320.62, while the coefficient and are 0.03 and 3.71 × 10 −11. According to this model, Nigeria's population growth rate is 3% per annum. The population prediction for Nigeria by 2125 will be 802,430,000 while the population sensitivity will be 189,900.
The examination of nano-fluid in recent time has been encouraging just as its research interest cuts across some disciplines such as mathematics, mechanical, chemical, civil engineering, physics, earth and natural sciences. Its... more
The examination of nano-fluid in recent time has been encouraging just as its research interest cuts across some disciplines such as mathematics, mechanical, chemical, civil engineering, physics, earth and natural sciences. Its applicability in the industrial and technological advancement helps in controlling the rate at which heat is conducted and diffuses in a given medium, as well as improving thermal transportation through convection, radiation and conduction. In this work, the analysis of hydromagnetic nanofluid flow past an inclined heated surface with temperature dependent non-uniform heat source/sink and thermal radiation under heat and mass transmission perspective is considered. Adequate similarity variables are employed in recovering the nonlinear coupled ordinary differential equations (ODEs) from the partial differential equations (PDEs) which describe the equation of the boundary layer. The transformed equations (ODEs) are addressed both analytically and numerically with the aid of regular series approximation technique and Wolfram Mathematica package. The numerically simulated obtained results are graphically presented with legends. The computations opined that velocity declines while energy increases as the magnetic field number enhances. Similarly, improvement on angle of inclination, breeds velocity deceleration. Furthermore, the rate of energy transfer increases as the temperature dependent non-uniform parameters due to thermal generation enhances. In addition, the nanoparticle concentration decreases with increasing values of Schmidt and thermal radiation factors.
Sickle cell is a disease that affects the growth and life expectancy of a given population infected with this disease. Hence, we carried out a theoretical study on the improvement of blood flow and the morphology effect on red blood cells... more
Sickle cell is a disease that affects the growth and life expectancy of a given population infected with this disease. Hence, we carried out a theoretical study on the improvement of blood flow and the morphology effect on red blood cells in sickle cell patient using a mathematical model. This morphological effect on the red blood cell comes as a result of the effect of treatment parameter embedded in the governing equation. The governing dimensional second order partial differential equations was transformed to non-dimensional form and solved analytically using the Frobenius method and solutions was gotten for both the blood momentum, energy and diffusion. The solutions for the flow of the red blood cell and wall shear stress was obtained with the result showing that heat source increase causes an increase in the flow of blood, reducing the shear stress at the wall and increasing the volumetric flow rate. This effect caused an improvement in the sickle shape of the deformed RBC and an improved flow which will reduce the crises experienced in patients with SCD. Finally, the increase in chemical reaction caused an increase in the pulsatile pressure of the sickled blood cell which results to an increase in the blood flow.
Abstract: Sickle cell is a disease that affects the growth and life expectancy of a given population infected with this disease. Hence, we carried out a theoretical study on the improvement of blood flow and the morphology effect on red... more
Abstract: Sickle cell is a disease that affects the growth and life expectancy of a given population infected with this disease.
Hence, we carried out a theoretical study on the improvement of blood flow and the morphology effect on red blood cells in sickle
cell patient using a mathematical model. This morphological effect on the red blood cell comes as a result of the effect of
treatment parameter embedded in the governing equation. The governing dimensional second order partial differential equations
was transformed to non-dimensional form and solved analytically using the Frobenius method and solutions was gotten for both
the blood momentum, energy and diffusion. The solutions for the flow of the red blood cell and wall shear stress was obtained
with the result showing that heat source increase causes an increase in the flow of blood, reducing the shear stress at the wall and
increasing the volumetric flow rate. This effect caused an improvement in the sickle shape of the deformed RBC and an improved
flow which will reduce the crises experienced in patients with SCD. Finally, the increase in chemical reaction caused an increase
in the pulsatile pressure of the sickled blood cell which results to an increase in the blood flow.
Hence, we carried out a theoretical study on the improvement of blood flow and the morphology effect on red blood cells in sickle
cell patient using a mathematical model. This morphological effect on the red blood cell comes as a result of the effect of
treatment parameter embedded in the governing equation. The governing dimensional second order partial differential equations
was transformed to non-dimensional form and solved analytically using the Frobenius method and solutions was gotten for both
the blood momentum, energy and diffusion. The solutions for the flow of the red blood cell and wall shear stress was obtained
with the result showing that heat source increase causes an increase in the flow of blood, reducing the shear stress at the wall and
increasing the volumetric flow rate. This effect caused an improvement in the sickle shape of the deformed RBC and an improved
flow which will reduce the crises experienced in patients with SCD. Finally, the increase in chemical reaction caused an increase
in the pulsatile pressure of the sickled blood cell which results to an increase in the blood flow.
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In this paper, we will be analyzing the impact of thermal radiation and heat source on blood flow past a horizontal channel that is permeable with an applied magnetic field that is inclined at variable angles. The non-linear higher... more
In this paper, we will be analyzing the impact of thermal radiation and heat source on blood flow past a horizontal channel that is permeable with an applied magnetic field that is inclined at variable angles. The non-linear higher partial differential equation which is the governing equation is transformed to ordinary differential equations using non-dimensional variable to non-dimensional equations that is then solved analytically with the application of required boundary conditions for the blood flow and temperature equations which is a function of y and t. Parameters that are varied shows an effect on the blood flow and temperature profile with the presentation of results shown graphically and results clearly discussed. Observations from the research shows that when the thermal radiation increases, there will be a mixed effect in the flow of blood, increase in the magnetic field on the artery shows an increase in flow of blood while the blood flow reduces and the temperature of ...