The COVID-19 pandemic has brought the world to its knees, with healthcare systems struggling to cope with the surge in demand for medical supplies. One of the major challenges faced by healthcare providers has been the transportation of essential medical supplies from manufacturers to hospitals and clinics. The pandemic has exposed the weaknesses in our supply chain systems and has highlighted the need for a more resilient and efficient transportation network. This project aims to investigate the medical supply problem during the pandemic, with a focus on transportation. It uses the Simple Heuristic Method and C programming language. The data generated using exponential distribution. The result shows that the application of the Simple Heuristic Method can minimize and optimize transportation time, providing a solution to the medical supply problem during pandemics. This project examine the challenges faced by healthcare providers in sourcing and transporting essential medical supplies and the impact of the pandemic on transportation networks. The results of this research provide valuable insights into the medical supply problem during pandemics and help inform the development of more effective transportation systems for the healthcare industry.

The discovery of hybrid carbon nanotubes shows the tendency toward the improvement of heat transfer performance in comparison to various classical fluids. This paper expands the novelty in utilizing the hybrid carbon nanotubes over vertical stretching/shrinking cylinder in presence of hydromagnetic and thermal radiation. It is essential to analyze the hydromagnetic due to its high potential capability especially in drug and gene release, hyperthermia effects as well as cell separation and manipulation in bio-medical field. The investigation on thermal radiation effect is added in this current study as it enhances the rate of heat transfer. To initiate this problem, partial differential equations (PDE) for the hybrid nanofluid flow with relevant boundary conditions (BCs) is set up and transformed into an ordinary differential equation (ODE). Adopting the similarity solutions and numerically solved using bvp4c (MATLAB). Findings on the variation of local Nusselt number, skin friction coefficient, shear stress and local heat flux having the effects of magnetic, M, curvature, ϒ, thermal radiation, Nr, mixed convection parameter, λ as well as volume fraction of nanoparticles, φ are demonstrated and elaborated in detail. Moreover, the research reveals that duality of solutions occurs when the buoyance force is in opposing flow with respect to the fluid motion, λ<0, as well as shrinking area, ε<0. The occurrence of magnetic reduces the heat transfer as well as skin friction coefficient. In addition, the skin friction coefficient and local Nusselt number tend to improve as volume fraction of nanoparticles and curvature are increased. In contrast, the low of thermal radiation enhance the heat transfer. Indeed, the consequences of using hybrid carbon nanotubes help intensify the skin friction coefficient and Nusselt number compared to SWCNT nanofluid and MWCNT nanofluid. These crucial findings may benefit the scientists and academicians hence giving an add-on value to their expertise. A stability analysis must be performed since there exists a non-unique solution throughout the computation.

The Blasius flow over a movable and permeable plate is envisaged in this study. Water-based hybrid nanofluid is incorporated with the insertion of thermal radiation, suction, and a convectively heated plate. The governing partial differential equations that simulate the fluid model are modified to ordinary differential equations through the implementation of self-similar transformation. A numerical solver known as bvp4c in Matlab is adopted to solve the problem numerically through the finite difference code with the Lobatto IIIa formula. Non-unique solutions are acquirable when the plate and the flow move in a dissimilar direction. As conducting the stability analysis, it is validated that the first solution is stable and reliable. The findings reveal that the imposition of stronger thermal radiation and greater Biot number for convection can lead to a better heat transfer performance. The 2% volume fraction of copper in the 1% volume fraction of alumina nanofluid composition would lead to greater skin friction when the plate is moving oppositely from the flow direction compared to the lesser volume fraction of copper. The boundary layer separation also can be efficiently prevented by composing a 2% copper volume fraction in the 1% alumina-water nanofluid compared to the lesser copper volume fraction.

The influence of velocity slip and thermal radiation effects on the magnetohydrodynamic hybrid Cu-Al 2 O 3 /water nanofluid flow over a permeable stretching sheet is reported in this paper. The similarity transformation is adopted to reduce the partial differential equations to the ordinary differential equations. Exact analytical method is implemented to solve the problem. Maple program is used to facilitate the calculation process. The new additional effects which are the velocity slip and thermal radiation effects are considered towards the model to scrutinize the impacts. The effects of various parameters towards the velocity and temperature profiles are demonstrated through graphs, meanwhile the skin friction coefficient and the local Nusselt number are exhibited through the tabulation of data. The existence of velocity slip reduced the velocity profile but enhanced the temperature profile. The thermal radiation effect has increased the temperature profile. The heat transfer rate are enhanced for the case of hybrid nanofluid compared to the mono nanofluid.

In this paper, we analytically study about the boundary layer flow and heat transfer on non-Newtonian fluidwhich in particular is the viscoelastic fluid. The magnetohydrodynamic (MHD) slip Darcy flow of viscoelastic fluid over a stretching surface in a porous medium with the presence of thermal radiation and viscous dissipation is examined. The results for two viscoelastic fluids which is elastico-viscousfluid and second grade fluidare obtained and compared. The governing partial differential equations are reduced to non-linear ordinary differential equations with the aid of similarity transformation, which are then solved analytically by using exact analytical method. The effects of the physical parameters on the velocity and temperature fields are presented through graphs and are discussed. Skin friction and heat transfer coefficients are computed and analysed.

Interval method is used for the inclusion of a zero of a function. The Ehrman(EHR) method considers the Newton’s iteration in finding the root of a function. This method is modified by using the mid point in the procedure and improved method has a faster convergence rate and less processing time. In this paper, the convergence analysis and the numerical results are shown.

Interval method is used for the inclusion of a zero of a function. The Ehrman(EHR) method considers the Newton's iteration in finding the root of a function. This method is modified by using the mid point in the procedure and improved method has a faster convergence rate and less processing time. In this paper, the convergence analysis and the numerical results are shown.