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    Corrigendum to “Second Order Slip Micropolar MHD Hybrid Nanofluid Flow over a Stretching Surface with Uniform Heat Source and Activation Energy: Numerical Computational Approach” [Results in Engineering 25 (2025) 104060]
    (Elsevier BV, 2025-03) Syed Arshad Abas; Hakeem Ullah; Mehreen Fiza; Ali Akgül; Aasim Ullah Jan; Magda Abd El-Rahman; Seham M. Al-Mekhlafi
    The authors regrets that the last name of fourth author and the grant number in the acknowledgement section has been corrected as shown below: 1. Correct last name of Ali Akgul as Akgül2. Corrected Acknowledgment: Magda Abd El-Rahman extends their appreciation to the Deanship of Research and Graduate Studies at King Khalid University for funding this work through Large Research Project under grant number RGP2/39/46>.The authors would like to apologise for any inconvenience caused.
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    Corrigendum to “Thermal radiation effects of Ternary Hybrid Nanofluid flow in the Activation Energy: Numerical Computational Approach” [Results in Engineering, 25 (2025) 104062]
    (Elsevier BV, 2025-03) Hakeem Ullah; Syed Arshad Abas; Mehreen Fiza; Aasim Ullah Jan; Ali Akgul; Magda Abd El-Rahman; Seham M. Al-Mekhlafi
    The authors regrets that the last name of fourth author and the grant number in the acknowledgement section has been corrected as shown below: 1. Correct last name of Ali Akgul as Akgül2. Corrected Acknowledgment: Magda Abd El-Rahman extends their appreciation to the Deanship of Research and Graduate Studies at King Khalid University for funding this work through Large Research Project under grant number RGP2/39/46>.The authors would like to apologise for any inconvenience caused.
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    Expanding the frontiers of additive manufacturing: Higher microstructure identification through probability modeling
    (Elsevier BV, 2025-06) Muhammad Shoaib; Muhammad Idrees; Hakeem Ullah; Aasim Ullah Jan; Touqeer Ahmad; Ali Akgül; Magda Abd El-Rahman; Seham M. Al-Mekhlafi
    Probabilistic models and machine learning methods create a step forward in making predictions for additive manufacturing (AM) microstructure. In this probabilistic framework, it became possible to express modifications in the properties of metal, polymer, ceramic, and composite microstructures. Process parameters and material consistency reached maximum levels through the use of statistical modeling along with finite element analysis (FEA) and Gaussian process regression (GPR). Experimental validation through AM process parameters, microstructural values, and material characteristics led to 40 % fewer metal and polymer microstructure variations with simultaneous strength increases. The computational system demonstrated its resistance to process modifications through a validated sensitivity analysis. Additionally covered were scalability issues, computing needs, and possible real-time adaption. These results help AM approaches in aerospace and biomedical engineering to be scalable and performable.
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    Investigating slip velocity effects on thermal and mass transport in magnetized nanoparticle squeeze flow via numerical scheme
    (SAGE Publications, 2025-04-24) Danish Ali; Hakeem Ullah; Mehreen Fiza; Aasim Ullah Jan; Ali Akgül; AS Hendy; Saeed Islam
    Efficient control over heat and mass transport in confined fluid systems is essential for applications in biomedical devices, lubrication systems, and industrial cooling technologies. However, conventional studies often overlook the combined impact of velocity slip, magnetic effects, and nanoparticle concentration on squeeze flow, leading to gaps in understanding heat and mass transport mechanisms under dynamic compression. This research addresses this gap by investigating the influence of nanoparticle volume fraction, magnetic field intensity, velocity slip, Schmidt number, and squeeze number on the Cu-water based Magnetohydrodynamic (MHD) unsteady squeezing flow using a numerical approach. The governing nonlinear differential equations are solved using the bvp4c solver in MATLAB. Results indicate that the skin friction coefficient decreases with the increasing squeeze number, with values reaching -3.3907 for S = 1.0, aligning closely with already published results. Similarly, the Nusselt number decreases as S increases, with a computed value of 1.1195 at S = 1.0. The application of a stronger magnetic field reduces the velocity profile, while higher Schmidt numbers suppresses diffusion. The slip parameter has negligible impact on the concentration profile, while an increase in the squeeze number slightly elevates the concentration. This study provides quantitative insights into the combined effects of slip velocity, MHD, and nanoparticle concentration on squeeze flow, offering valuable implications for microfluidic cooling systems, biomedical transport, and high-performance lubrication technologies.
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    MHD hybrid nanofluid flow via varying porous space amid two stretchable rotating disks: A numerical approach
    (SAGE Publications, 2025-03-17) Danish Ali; Hakeem Ullah; Mehreen Fiza; Aasim Ullah Jan; Ali Akgül; A.S. Hendy; Seham M Al-Mekhlafi
    This study investigates the thermal performance enhancement achievable through the utilization of hybrid nanofluids (HNF) in variable porous media subjected to Magnetohydrodynamic (MHD) effects in a Casson fluid with two stretchable rotating disks. In the present study, the titanium dioxide ((Formula presented.)) and silver ((Formula presented.)) nanoparticles are suspended in water, which served as the base fluid. The governing equations are derived using similarity transformations and solved numerically using the bvp4c method achieving convergence with an accuracy tolerance of (Formula presented.). The study explores the influence of variable porosity parameter, stretching parameters, Lorentz force, Casson parameter and Biot’s number on velocity, pressure, and temperature distributions. The findings reveal that axial velocity of the hybrid nanofluid increases with lower disk stretching and Casson parameters, while temperature declines with an increase in the variable porosity factor. The study also highlights that radial velocity variations depend significantly on disk stretching parameters, with opposing trends observed between the lower and upper disks. Enhanced thermal profiles are noted with increasing Biot numbers, whereas magnetic effects suppress tangential velocity. Moreover, the results reveal that hybrid nanofluids significantly enhance heat transfer rates compared to traditional nanofluids, with up to a 23% improvement observed for specific parameter settings. This work highlights the practical applicability of hybrid nanofluids in thermal management systems, such as cooling technologies in aerospace and energy systems. The high thermal conductivity of the Ag-TiO2 hybrid nanofluid makes it well-suited for cooling in microelectronic devices, where efficient heat dissipation is critical. Enhanced heat transfer properties are advantageous in solar collectors and geothermal systems, where maximizing energy efficiency through effective heat transport is essential. The model’s improved flow and thermal behaviors could contribute to efficient engine cooling, lubricant systems, and fuel cell performance, especially under high-performance and variable porosity conditions in aerospace and automobile industries.
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    Second order slip micropolar MHD hybrid nanofluid flow over a stretching surface with uniform heat source and activation energy: Numerical computational approach
    (Elsevier BV, 2025-03) Syed Arshad Abas; Hakeem Ullah; Mehreen Fiza; Ali Akgul; Aasim Ullah Jan; Magda Abd El-Rahman; Seham M. Al-Mekhlafi
    Applications: Micropolar fluids are extensively used in lubrication, polymer processing, and heat transfer applications to enhance performance in systems with suspended microstructures. These fluids find applications in industries such as medical, chemical, and microfluidics. Recent advancements have highlighted the potential of hybrid nanofluids in further improving thermal and flow characteristics. Novelty: Motivated by these developments, this study investigates the heat and mass transfer characteristics of a micropolar hybrid nanofluid comprising titanium dioxide (TiO2) and silver (Ag) nanoparticles suspended in water. The analysis focuses on the effects of slip boundary conditions, Joule heating, thermal radiation, heat sources, magnetohydrodynamic (MHD) effects, activation energy, and binary chemical reactions. Methodology: A mathematical model is formulated based on boundary-layer approximations, leading to a system of partial differential equations (PDEs) that describe the flow, thermal, and concentration fields. These PDEs are subsequently transformed into a set of ordinary differential equations (ODEs) using similarity transformations. The resulting higher-order nonlinear ODEs are solved numerically using the bvp4c technique in MATLAB. Findings: The results reveal that the inclusion of slip boundary conditions significantly influences the flow dynamics, reducing skin friction by 4.9 % and 10.4 % with increasing magnetic and material parameters, respectively, but enhancing it with a higher slip factor by 18.88 %. Additionally, an increased volume fraction of nanoparticles elevates the heat transfer rate by 6.3 % while diminishing the Sherwood number by 2.6 %, showcasing the thermal enhancement capabilities of the hybrid nanofluid. This study contributes to the field by providing new insights into the combined effects of Joule heating, activation energy, and chemical reactions on micropolar hybrid nanofluid flow. The result of bvp4c compared with previous literature and found to be closely aligned with published work. The findings have implications for the optimization of thermal management systems and processes in advanced engineering and industrial applications.
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    Thermal radiation effects of ternary hybrid nanofluid flow in the activation energy: Numerical computational approach
    (Elsevier BV, 2025-03) Hakeem Ullah; Syed Arshad Abas; Mehreen Fiza; Aasim Ullah Jan; Ali Akgul; Magda Abd El-Rahman; Seham M. Al-Mekhlafi
    Significance: The remarkable thermal conductivity and heat transfer characteristics of nanofluids make them extremely valuable in thermal engineering and other areas. Due to their increased effectiveness, nanofluids are incredibly useful for improving the efficiency of cooling systems, heating processes, and thermal management applications. Rotating machinery and gas turbine rotators are some industrial applications of hybrid nanofluids as heat transport fluids. Purpose: This study introduces a novel investigation into heat transport phenomena of ternary hybrid, hybrid and nanofluid containing copper, silver and alumina nanoparticles within two stretchy rotating disks maintaining a constant distance. The analysis incorporates the effects of thermal radiation, heat source, joule heating, and Arrhenius activation energy into the equations to stabilize the new composition's flow and thermal properties. Methodology: After utilizing von Karman similarity transformations to renovate the principal equations into the set of nonlinear differential equation systems, the resulting equations were solved using the bvp4c numerical approach with the assistance of MATLAB software. Findings: Graphs are used to explain the results in three different kinds of flows: hybrid fluid (Cu+Al2O3/H2O), nanofluid (Cu/H2O), and ternary hybrid fluid (Cu+Al2O3+Ag/H2O). Additionally, the outcomes of the variable parameters are presented and briefly discussed for different flow profiles. There is encouraging evidence that the numerical code for this study is compatible with previously published work. The skin friction improves 5 % due to the higher values of magnetic and stretching parameter at lower disk. The rate of the heat transfer improved 28 % for ternary nanoparticles as compared to hybrid and single nanofluids. Sherwood's number exhibits both growing and decreasing behaviors for Schmidt and Reynolds’ numbers. All the involved factors enhances the temperature profile. The radiation parameter boost the Nusselt number for ternary hybrid nanofluid up to 6 % and 3.4 % at lower and upper disk as compare to nanofluid.