Have interest in applied and Computational Mathematics in the area of Computational fluid mechanic.. Started applied mathematics from secondary schools.
The investigation on the impacts of magnetic field, thermal radiation, generation of heat and mas... more The investigation on the impacts of magnetic field, thermal radiation, generation of heat and mass transfer in a porous-medium-embedded homogenous nanofluid flow between two stretchable spinning disks is crucial since spinning disks are prevalent in many engineering and technological applications. The objective of this research was to analyze the influences of these parameters using the Cattaneo-Christov heat flux model against the flow’s temperature, velocity and concentration profiles. Temperature profile is a decreasing function of thermal relaxation time parameter due to the particles require a longer period to transfer heat to the next particles. The rates of heat transfer at both spinning disks decrease as values of heat generation, Eckert number, Prandtl number, Brownian diffusion, thermophoresis diffusion and rotation ratio increase. The disks’ rates of mass transfer decrease with more thermophoresis diffusion, heat generation, heat transfer dissipation, and momentum diffusi...
This paper examines the transport of a chemically reacting nanofluid in a porous medium between t... more This paper examines the transport of a chemically reacting nanofluid in a porous medium between two rotary disks with Cattaneo-Christov?s heat flux. The non-linear ordinary differential system formed under Vonn Karman transformation of a non-linear partial differential system is solved via a shooting method with MATLAB bvp4c. The nanofluid thermodynamics profiles with variation in physical properties of thermal relaxation time, thermal radiation, porosity, and chemical reaction are observed. Axial, radial, and tangential velocities are found to be increasing functions of porous medium. A decrease in the fluid temperature is perceived as thermal radiation and thermal relaxation increase since more heat can be transported to neighboring surroundings. The concentration is enhanced with intensified Cattaneo-Christov?s thermal relaxation but it oscillates with reacting chemicals. The rotary disks bound the oscillating nanofluid from downward to up-ward directions and vice versa. The axia...
In the present study, we have attempted to examine various aspects of blood flow in different seg... more In the present study, we have attempted to examine various aspects of blood flow in different segments of the circulatory system in a situation where the system has been subjected to an external transverse magnetic field. The equation of motion of the tube, accounted for the elastic response of the arteries of various sizes. The investigation shows that the model considered here is also capable of taking into account the properties affecting the blood flow and hemodynamic features, which may be important for medical doctors to predict diseases for individuals on the basis of the pattern of flow for an elastic artery in the presence of a transverse magnetic field. We derived the "frequency equation" of the flow. It was observed that the roots of the frequency equation also depend on ����ℯ���� 0 2 which is the effect of the applied transverse magnetic field on the entire flow. Therefore, the results presented show that the flow of blood and pressure can be controlled by the ...
A traveling wave solution, using the proposed Tan-Cot Function Method for Nonlinear Partial Diffe... more A traveling wave solution, using the proposed Tan-Cot Function Method for Nonlinear Partial Differential Equations, has been established in this paper. This method is used to obtain new solitary wave solutions for nonlinear partial differential equations such as the Coupled Klein-Gordon system of equations, Huxley equation, Dispersive Long Wave Equation and Korteweg-dVries (KDV) equation.
We have established in this paper, that the set of solutions of a system of Ordinary Differential... more We have established in this paper, that the set of solutions of a system of Ordinary Differential Equations obtained using the exponential of a Matrix Method, can form a Fundamental Matrix. We also discussed when the diagonalizable matrix is not idempotent.
The investigation on the impacts of magnetic field, thermal radiation, generation of heat and mas... more The investigation on the impacts of magnetic field, thermal radiation, generation of heat and mass transfer in a porous-medium-embedded homogenous nanofluid flow between two stretchable spinning disks is crucial since spinning disks are prevalent in many engineering and technological applications. The objective of this research was to analyze the influences of these parameters using the Cattaneo-Christov heat flux model against the flow’s temperature, velocity and concentration profiles. Temperature profile is a decreasing function of thermal relaxation time parameter due to the particles require a longer period to transfer heat to the next particles. The rates of heat transfer at both spinning disks decrease as values of heat generation, Eckert number, Prandtl number, Brownian diffusion, thermophoresis diffusion and rotation ratio increase. The disks’ rates of mass transfer decrease with more thermophoresis diffusion, heat generation, heat transfer dissipation, and momentum diffusi...
This paper examines the transport of a chemically reacting nanofluid in a porous medium between t... more This paper examines the transport of a chemically reacting nanofluid in a porous medium between two rotary disks with Cattaneo-Christov?s heat flux. The non-linear ordinary differential system formed under Vonn Karman transformation of a non-linear partial differential system is solved via a shooting method with MATLAB bvp4c. The nanofluid thermodynamics profiles with variation in physical properties of thermal relaxation time, thermal radiation, porosity, and chemical reaction are observed. Axial, radial, and tangential velocities are found to be increasing functions of porous medium. A decrease in the fluid temperature is perceived as thermal radiation and thermal relaxation increase since more heat can be transported to neighboring surroundings. The concentration is enhanced with intensified Cattaneo-Christov?s thermal relaxation but it oscillates with reacting chemicals. The rotary disks bound the oscillating nanofluid from downward to up-ward directions and vice versa. The axia...
In the present study, we have attempted to examine various aspects of blood flow in different seg... more In the present study, we have attempted to examine various aspects of blood flow in different segments of the circulatory system in a situation where the system has been subjected to an external transverse magnetic field. The equation of motion of the tube, accounted for the elastic response of the arteries of various sizes. The investigation shows that the model considered here is also capable of taking into account the properties affecting the blood flow and hemodynamic features, which may be important for medical doctors to predict diseases for individuals on the basis of the pattern of flow for an elastic artery in the presence of a transverse magnetic field. We derived the "frequency equation" of the flow. It was observed that the roots of the frequency equation also depend on ����ℯ���� 0 2 which is the effect of the applied transverse magnetic field on the entire flow. Therefore, the results presented show that the flow of blood and pressure can be controlled by the ...
A traveling wave solution, using the proposed Tan-Cot Function Method for Nonlinear Partial Diffe... more A traveling wave solution, using the proposed Tan-Cot Function Method for Nonlinear Partial Differential Equations, has been established in this paper. This method is used to obtain new solitary wave solutions for nonlinear partial differential equations such as the Coupled Klein-Gordon system of equations, Huxley equation, Dispersive Long Wave Equation and Korteweg-dVries (KDV) equation.
We have established in this paper, that the set of solutions of a system of Ordinary Differential... more We have established in this paper, that the set of solutions of a system of Ordinary Differential Equations obtained using the exponential of a Matrix Method, can form a Fundamental Matrix. We also discussed when the diagonalizable matrix is not idempotent.
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Papers by Peter Habu