Computational Fluid Dynamics & Mathematics Researcher

IQRA KHALIL

Mathematician Computational Fluid Dynamics Researcher Mathematics Instructor

Abbaspur, Azad Kashmir, Pakistan ****************@*****.*** +92-342-******* LinkedIn: iqra-khalil-411050377 PROFESSIONAL SUMMARY

Mathematics researcher and instructor with an M.Phil. in Mathematics and research interests in computational fluid dynamics, particle-laden flows, fictitious boundary methods, finite element solvers, numerical simulation, q-calculus, and fractional calculus. Experienced in MATLAB, FEATFLOW, LaTeX, mathematical modelling, scientific writing, and undergraduate mathematics instruction. Co-author of research on Reynolds-number-dependent interactions of non-circular particles in vertical-channel flows. Seeking doctoral research opportunities in applied mathematics, computational mechanics, fluid dynamics, and numerical analysis.

RESEARCH INTERESTS

Computational Fluid Dynamics: Particle-laden flows, fluid–particle interactions, non-circular particle dynamics, fictitious boundary methods, finite element methods, Reynolds-number effects, and numerical simulation Applied and Computational Mathematics: q-calculus, fractional calculus, numerical analysis, mathematical modelling, and computational solution of differential equations EDUCATION

M.Phil. in Mathematics Mirpur University of Science and Technology (MUST), Mirpur, Pakistan 2021

● CGPA: 3.54/4.00

● Thesis: Combination of q-Calculus and Fractional Calculus M.Sc. in Mathematics (Integrated B.Sc.–M.Sc.) The University of Poonch, Rawalakot, Pakistan 2017

● CGPA: 3.10/4.00

RESEARCH EXPERIENCE

M.Phil. Researcher — q-Calculus and Fractional Calculus Mirpur University of Science and Technology 2019 – 2021

● Investigated mathematical relationships between q-calculus and fractional calculus.

● Reviewed theoretical formulations and properties of generalized differential and integral operators.

● Developed and analyzed mathematical expressions relevant to non-classical calculus.

● Prepared the M.Phil. Thesis and presented research findings in formal academic format. Research Collaborator — Computational Fluid Dynamics and Particle-Laden Flow Independent research collaboration 2024 – Present

● Investigated Reynolds-number-dependent flow behavior and interactions of twin non-circular particles in a vertical channel.

● Applied numerical simulation to examine fluid–particle interactions, particle motion, wake formation, and hydrodynamic behavior.

● Used FEATFLOW and MATLAB for numerical implementation, post-processing, and visualization.

● Contributed to manuscript preparation, interpretation of simulation results, and scientific reporting. TECHNICAL & RESEARCH SKILLS

Computational Mathematics and Simulation: Computational fluid dynamics, particle-laden flow modelling, numerical simulation, finite element methods, fictitious boundary methods, Reynolds-number analysis Programming and Scientific Computing: MATLAB, FEATFLOW, PYTHON Mathematical Research: q-calculus, fractional calculus, differential equations, numerical analysis, mathematical modelling Scientific Communication: LaTeX, literature review, manuscript preparation, technical reporting, presentation of mathematical results

Data and Office Software: Microsoft Excel, Microsoft Word, Microsoft PowerPoint LANGUAGES

Urdu (Native) English — Listening C1, Reading B2, Writing C2, Speaking C2 WORK EXPERIENCE

Mathematics Instructor Postgraduate College for Boys, Abbaspur, Pakistan October 2022 – Present

● Deliver mathematics instruction at intermediate and undergraduate levels, covering calculus, algebra, differential equations, analytical geometry, and related subjects.

● Prepare course outlines, lesson plans, assessments, examinations, and instructional materials aligned with institutional requirements.

● Evaluate student performance, maintain academic records, and provide targeted academic support.

● Integrate problem-solving, analytical reasoning, and activity-based approaches into mathematics teaching.

● Support science and mathematics activities, student research initiatives, and interdisciplinary academic programmes.

● Collaborate with faculty on curriculum planning, assessment, and institutional academic activities.

● Participate in continuing professional development and departmental quality-improvement activities. PUBLICATIONS

● Shahid, M., Khalil, I., and Haq, M. I. U. (2025). Reynolds-Number-Dependent Flow Dynamics of Twin Non- Circular Particles in a Vertical Channel: Twin Non-Circular Particles Interaction. International Journal of Emerging Multidisciplinaries: Biomedical and Clinical Research. [https://doi.org/10.54938/ijemdbmcr.2025.03.1.477]

● Shahid, M., Khalil, I., and Haq, M. I. U. Flow Behavior of Dynamics for Twin Non-Circular Particles in a Vertical Channel: A Reynolds Number Perspective. (Submitted, 2025). CONFERENCE PRESENTATIONS & SCIENTIFIC ENGAGEMENT

● Participant, "Know Yourself and Purpose of Life," University of Poonch, Rawalakot, Pakistan 2024

● Participant, National Seminar on "Acquisition of Energy from Matter," Mirpur University of Science and Technology, Pakistan 2022

HONORS AND AWARDS

● Emerging Researcher Recognition — Postgraduate College for Boys, Abbaspur 2023

● Junior Member, Natural Sciences Research Society — Postgraduate College for Boys, Abbaspur 2024

● Certificate of Appreciation — Postgraduate College for Boys, Abbaspur 2024 VOLUNTEERING

Volunteer — Youth and Community Development Abbaspur, Pakistan 2023 – Present

● Support youth-development, community-engagement, and awareness activities.

● Participate in volunteer coordination and local educational initiatives. Volunteer — Disaster Management Activities Abbaspur, Pakistan 2024 – Present

● Contribute to community preparedness, awareness, and relief-support activities. RECOMMENDATIONS

Dr. Muhammad Rahman

Assistant Professor, Department of Mathematics, Mirpur University of Science and Technology, Pakistan Email: ******.*****@****.***.** Phone: +92-301-******* Dr. Kalim ul Haq Tariq

Associate Professor, Department of Mathematics, Mirpur University of Science and Technology, Pakistan Email: **********@****.***.***

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