Department of Mathematics

Permanent URI for this collectionhttp://localhost:4000/handle/123456789/1920

Browse

Filters

Settings

Has files: NoSubject: search.filters.subject.Radiation

Search Results

Now showing 1 - 10 of 10
  • No Thumbnail Available
    Item
    Simulation of magnetically targeted drug delivery for two-phase blood flow in stenotic arteries under hall and ion influence
    (World Scientific, 2025-05) Sharma, Bhupendra Kumar
    The present study investigates the efficacy of targeted drug delivery mechanisms in unsteady blood flow by incorporating the infusion of magnetic nanoparticles within a stenosed artery. The study employs a two-phase mathematical model, including a power law fluid model in the core region and a Newtonian model in plasma regions. The study systematically examines several critical parameters, including Hall and ion effects, radiation, and viscous dissipation, to determine their impact on the diseased arterial segment. The discretized governing equations are solved using Method of Lines (MOL) approach that transforms the spatial and time variables into adjoint ordinary differential equations (ODEs) in the time variable domain. The results obtained from the study reveal that an increase in the particle mass parameter () is associated with a reduction in the velocities of both nanoparticles and nanofluid. Additionally, a detailed time series analysis of flow rate profiles indicates a declining trend in the Weissenberg parameter (), particularly in the context of shear-thickening fluid. Overall, this research advances the understanding of magnetic drug targeting and contributes valuable knowledge to biomedical fluid dynamics, which has significant implications for developing targeted drug delivery systems and their potential applications in healthcare.
  • No Thumbnail Available
    Item
    Impact of Arrhenius activation energy on MHD nanofluid flow past a stretching sheet with exponential heat source: A modified Buongiorno’s model approach
    (World Scientific, 2023) Sharma, Bhupendra Kumar
    Nanofluids have a wide range of applications in biological research. They are employed in targeted medication administration, hyperthermia (for cancer treatment) and differential diagnostics like magnetic resonance image (MRI). In light of these medical applications, the impact of an external magnetic field and an exponential heat source on the dynamics of TiO2–H2O over a nonlinearly stretched surface has been investigated. A realistic modified Buongiorno model has been used which includes the effects of reaction rate, Biot number and activation energy. The boundary value problem governing the model is solved on MATLAB R2022a using the solver, BVP5C. Further, the consequences of different parameters on rate of heat transfer coefficient (Nusselt number), rate of mass transfer coefficient (Sherwood number), drag coefficient, velocity, temperature and volume fraction profile are observed graphically. It is noted that volume fraction and uniform heat source intensity have a positive effect on the Nusselt number and negative effect on Sherwood number. The effects of thermal radiation and magnetic field on volume fraction profile are, respectively, positive and negative. The current physics of flow across a vertical stretching surface is expected to serve as the foundation for various medical science, engineering and technology applications.
  • No Thumbnail Available
    Item
    Optimization of heat transfer nanofluid blood flow through a stenosed artery in the presence of Hall effect and hematocrit dependent viscosity
    (Elsevier, 2023-07) Sharma, Bhupendra Kumar
    The heat transfer rate of the MHD nanofluid blood flow through a stenosed composite artery with hematocrit-dependent viscosity and Hall effect is optimized by using the response surface methodology (RSM). An experimental design and sensitivity analysis based on RSM are employed to examine the impact of different physical parameters and how changes to these parameters affect the response factors of interest. RSM is utilized in the process of constructing the model dependencies between the output response variables, such as the skin friction coefficient and the local Nusselt number, and the independent input parameters, such as the magnetic field parameter, the Hall parameter, and the Brinkman number. These model dependencies are used to determine the relationship between the output response variables and the independent input parameters. For medical applications, the effects of the aforementioned parameters on the velocity and temperature along the radial axis have been examined and physically interpreted. Shear stress and Nusselt number are analyzed using graphs for several physical factors in addition to stenosis height. The increases in the hematocrit parameter are accompanied with a decrease in velocity profile, as it enhances the fluid viscosity that reduces the fluid motion. The sensitivity of (Nusselt number) and (shear stress profile) are positive for , while negative for M and Be. In addition, current research may be helpful in biomedical by detecting the abnormalities in the artery with the help of the artery image, also known as magnetic resonance angiography (MRA).
  • No Thumbnail Available
    Item
    Heat transfer by free convection flow with radiation along a porous hot vertical plate in the presence of transverse magnetic field
    (RSMAMS, 2007) Sharma, Bhupendra Kumar
    An analysis of radiation effect on steady laminar free convection flow of an electrically conducting fluid along a porous hot vertical plate has been discussed. Approximate solutions have been derived for the velocity, temperature field, skin friction and rate of heat transfer using multi-parameter perturbation technique. The obtained results are discussed with the help of graphs and tables to observe the effects of Prandtl number, radiation parameter, magnetic field parameter and Grashof number on velocity, temperature, skin-friction and the Nusselt number.
  • No Thumbnail Available
    Item
    Soret and Dufour effects on MHD nanofluid flow of blood through a stenosed artery with variable viscosity
    (World Scientific, 2023) Sharma, Bhupendra Kumar
    This study deals with the effects of Soret and Dufour on MHD nanofluid flow through a composite stenosed artery having temperature-dependent viscosity. To determine the radiation effect in the energy equation, the Rosseland approximation has been considered in this study. The Reynolds viscosity model has been considered to describe the influence of temperature dependent viscosity. The governing equations of the model are solved numerically by applying “Finite Difference Method”. The effects of the above-mentioned parameters on the velocity, temperature and concentration along the radial axis have been studied and are physically interpreted for medical applications. Shear stress, heat transfer and mass transfer effects have been examined. The heat and mass transfer effects are studied using the Nusselt number and Sherwood number, respectively. Shear stress, Sherwood number and Nusselt number are analyzed with the help of graphs for different physical parameters along with the height of stenosis. Temperature increases with the Soret number as thermophoretic diffusion increases due to temperature gradient and decreases with the Dufour number as concentration gradient causes a decrease in energy flux. In this paper, we studied the CuNPs with blood as a base fluid under an external magnetic field. CuNPs are of great interest for many reasons, including low cost and easy availability and their similar properties to those of noble metals like silver, gold, etc. Recently, biological applications of CuNPs have been considered for several usages, such as drug delivery, antibacterial, antifungal, antiviral, anticancer, and novel therapeutic agents for combating other diseases. Enhancement in the copper nanoparticle volume fraction resulted in an increase in the thermal conductivity and dissipation of heat throughout the stenosed artery resulted in a decline of the temperature profile. This study contributes to the understanding of the nonsurgical treatment of stenosis and other anomalies, as well as the minimization of post-operative complications. Further, these studies may be helpful in the biomedical field such as magnetic resonance angiography (MRA) to take the image of an artery to locate the abnormalities in the artery.
  • No Thumbnail Available
    Item
    Computer Simulations of EMHD Casson Nanofluid Flow of Blood through an Irregular Stenotic Permeable Artery: Application of Koo-Kleinstreuer-Li Correlations
    (MDPI, 2023-02) Sharma, Bhupendra Kumar
    A novel analysis of the electromagnetohydrodynamic (EMHD) non-Newtonian nanofluid blood flow incorporating CuO and Al2O3 nanoparticles through a permeable walled diseased artery having irregular stenosis and an aneurysm is analyzed in this paper. The non-Newtonian behavior of blood flow is addressed by the Casson fluid model. The effective viscosity and thermal conductivity of nanofluids are calculated using the Koo-Kleinstreuer-Li model, which takes into account the Brownian motion of nanoparticles. The mild stenosis approximation is employed to reduce the bi-directional flow of blood to uni-directional. The blood flow is influenced by an electric field along with a magnetic field perpendicular to the blood flow. The governing mathematical equations are solved using Crank-Nicolson finite difference approach. The model has been developed and validated by comparing the current results to previously published benchmarks that are peculiar to this study. The results are utilized to investigate the impact of physical factors on momentum diffusion and heat transfer. The Nusselt number escalates with increasing CuO nanoparticle diameter and diminishing the diameter of Al2O3 nanoparticles. The relative % variation in Nusselt number enhances with Magnetic number, whereas a declining trend is obtained for the electric field parameter. The present study’s findings may be helpful in the diagnosis of hemodynamic abnormalities and the fields of nano-hemodynamics, nano-pharmacology, drug delivery, tissue regeneration, wound healing, and blood purification systems.
  • No Thumbnail Available
    Item
    Soret and Dufour Effects in Biomagnetic Fluid of Blood Flow Through a Tapered Porous Stenosed Artery
    (American Scientific Publishers, 2019-02) Sharma, Bhupendra Kumar
    Present study deals with the Magnetohydrodynamic effect on flow parameters of blood through a stenosed artery with significant Soret and Dufour effects. A constant, static, magnetic field is applied transverse to the surface. The governing equations are nonlinear and solved numerically using finite difference schemes. Computations of solutions are made for the velocity, temperature and concentration fields. The effects of stenotic height, magnetic field, Prandtl number, Schmidt, radiation parameter, Soret and Dufour parameters on velocity, temperature and concentration distribution are analysed. The presence of magnetic field helps to slow down the flow of fluid. The results obtained from the study can be used in normalizing the values of the model parameters and hence can be used for medical applications.
  • No Thumbnail Available
    Item
    MHD fluctuating free convective flow with radiation embedded in porous medium having variable permeability and heat source/sink
    (MHD, 2006) Sharma, Bhupendra Kumar
    The study of free convective two-dimensional unsteady flow with radiation through a porous medium of variable permeability and transverse magnetic field in presence of a heat source/sink, bounded by an infinite vertical porous plate with uniform suction, has been made. The permeability of a porous medium fluctuates with time about a constant mean. Approximate solutions for velocity, temperature and skin friction are obtained and the effects of heat source/sink, radiation, variable permeability, Prandtl number and magnetic field parameter on velocity, temperature and skin friction are shown and discussed with the help of graphs and a table.
  • No Thumbnail Available
    Item
    Radiation effect on temperature distribution in three-dimensional Couette flow with suction or injection
    (Springer, 2007-03) Sharma, Bhupendra Kumar
    A theoretical analysis of three-dimensional Couette flow with radiation effect on temperature distribution has been analysed, when the injection of the fluid at the lower stationary plate is a transverse sinusoidal one and its corresponding removal by constant suction through the upper porous plate is in uniform motion. Due to this type of injection velocity, the flow becomes three-dimensional. The effect of Prandtl number, radiation parameter and injection parameter on rate of heat transfer has been examined by the help of graphs. The Prandtl number has a much greater effect on the temperature distribution than the injection or radiation parameter.
  • No Thumbnail Available
    Item
    Soret and Dufour effects on unsteady MHD mixed convection flow past a radiative vertical porous plate embedded in a porous medium with chemical reaction
    (Scientific Research Publishing, 2012) Sharma, Bhupendra Kumar
    The Soret and Dufour effects on unsteady MHD mixed convection flow past an infinite radiative vertical porous plate embedded in a porous medium in the presence of chemical reaction have been studied. A uniform magnetic field acts perpendicular to the porous surface. The Rosseland approximation has been used to describe the radiative heat flux in energy equation. The governing equations are solved numerically by applying explicit finite difference Method. The effects of various parameters on the velocity, temperature and concentration fields have been examined with the help of graphs.