Engineering & Science calculators
Choose a task below. Check each calculator’s assumptions and units before using its result.
Marine Propeller Thrust & Torque Calculator
Compute propeller advance ratio ($J$), thrust coefficient ($K_T$), torque coefficient ($K_Q$), open water efficiency ($\eta_0$), and Keller cavitation blade area ratio.
Marine Riser Top Tension Calculator - TTR Overpull Sizing
Determine top tensioner demand, Top Tension Ratio (TTR), and effective tension distribution down to the Lower Marine Riser Package (LMRP) per API RP 16Q.
Marine Rudder Hydrodynamic Lift Calculator
Calculate rudder hydrodynamic lift ($F_L$), drag ($F_D$), normal force ($F_N$), rudder stock torque ($Q_R$), and ship initial turning yaw moment.
Martensite Start Temperature Calculator
Physical Metallurgy & Heat Treatment: Calculate $M_s$, $M_f$, and martensite volume fraction ($f_M$) as a function of steel alloy composition.
Mathews-Potvin Stope Stability Calculator
Hard-Rock Underground Mining: Compute the Modified Stability Number ($N = Q^\prime \times A \times B \times C$), Hydraulic Radius ($HR$), and open stope support requirements.
Matrix Acidizing Rate Calculator - Paccaloni Pressure
Determine the maximum safe surface and bottomhole injection rate (bpm) to avoid exceeding formation parting pressure per the Paccaloni matrix acidizing method.
Maxwell Viscoelastic Stress Relaxation Calculator
Viscoelastic Mechanics: Calculate time-dependent relaxation modulus ($G(t)$), instantaneous stress decay ($\tau(t)$), and Deborah number ($De$).
Maxwell Voigt Viscoelastic Model Calculator
Continuum viscoelastic mechanics: Compute time-dependent creep compliance ($J(t)$), instantaneous elastic response, viscous flow drift, and stress relaxation ($G(t)$) using the Burgers 4-element model.
Mechanistic-Empirical Pavement Fatigue Calculator
Structural Durability & Fatigue Life: Compute critical bottom-of-layer tensile strain ($\varepsilon_t$), allowable repetitions ($N_f$), Miner’s damage index ($D$), and alligator cracking.
Medical Vacuum Pump Sizing Calculator - NFPA 99 Demand
Size healthcare medical-surgical vacuum systems per NFPA 99: calculate clinical inlet diversity demand, N+1 pump redundancy, and receiver tank capacity.
MEG Injection Rate Calculator - Hydrate Inhibition Sizing
Calculate required Monoethylene Glycol (MEG) dosage (kg/h and GPM) to prevent subsea natural gas hydrate plug formation using the Hammerschmidt equation.
Melt Flow Index to Viscosity Calculator
Rheology & polymer processing: Convert ASTM D1238 / ISO 1133 Melt Flow Rate (MFI/MFR) to apparent capillary shear stress, shear rate, zero-shear viscosity, and Mw.
MEMS Cantilever Pull-In Voltage Calculator
Microsystems & electrostatic actuation: Calculate the saddle-node pull-in instability voltage ($V_{pi}$), critical travel limit ($g_0 / 3$), electrostatic force, and beam spring constant ($k$).
MEMS Capacitive Accelerometer Calculator
Inertial navigation & MEMS sensing: Calculate proof mass displacement, differential sense capacitance ($\Delta C / a$), mechanical resonance ($f_0$), and Brownian thermo-mechanical noise floor.
MEMS CMUT Ultrasonic Transducer Calculator
Medical imaging & ultrasonic transduction: Calculate membrane collapse voltage ($V_{coll}$), resonant frequency ($f_0$), electromechanical coupling ($k_t^2$), and acoustic output pressure ($P_{out}$).
MEMS Comb Drive Actuator Force Calculator
Microactuator design: Calculate the gap-independent electrostatic drive force ($F_x$), interdigitated finger capacitance gradient ($dC/dx$), folded-flexure suspension stiffness ($k_x$), and stroke.
MEMS Coriolis Vibratory Gyroscope Calculator
Inertial rate sensing: Model drive-mode vibration ($x_0$), Coriolis acceleration ($a_c = 2\,\Omega \times v_d$), sense-axis displacement ($y_0$), mode-matching frequency split ($\Delta f$), and scale factor.
MEMS Piezoelectric Harvester Power Calculator
Vibrational energy harvesting & IoT autonomy: Calculate open-circuit voltage ($V_{oc}$), optimal matching load resistance ($R_{opt}$), maximum electrical power output ($P_{max}$), and natural frequency ($f_n$).
MEMS Piezoresistive Cantilever Calculator
Micro-cantilever sensing & AFM: Calculate surface stress, piezoresistive resistance change ($\Delta R / R$), longitudinal piezoresistive coefficient ($\pi_l$), and Wheatstone bridge output voltage ($\Delta V_{out}$).
MEMS Resonator Anchor Loss & Q-Factor Calculator
Micro-resonators & RF MEMS filters: Calculate acoustic energy leakage into the substrate ($Q_{anchor}$), Zener thermoelastic damping ($Q_{TED}$), and total unloaded quality factor ($Q_{total}$).
MEMS Squeeze Film Damping Calculator
Microfluidics & rarefied gas dynamics: Calculate the squeeze-film air damping coefficient ($c$), Blech cut-off frequency ($f_c$), effective viscosity with Knudsen correction, and mechanical quality factor ($Q$).
MEMS Thermal Microactuator Force Calculator
Electrothermal microactuators: Model electrical Joule heating ($\Delta T$), thermal expansion ($\Delta L$), lateral stroke displacement ($y$), and output blocking force ($F_{block}$).
Metal Casting Solidification Chvorinov Calculator
Calculate total solidification time, modulus of casting (V/A ratio), mold thermal constant, and progressive solidification order per Chvorinov's Rule.
Metal Powder Hall Flowmeter Calculator
Standardized powder characterization: Calculate Hall flow rate (\(s/50\text{g}\)), apparent bulk density, Hausner ratio, and Carr Index per ASTM B212/B213/B527.
Metal Roof Thermal Expansion Calculator - Standing Seam
Determine standing seam metal roofing panel thermal expansion and contraction, required sliding clip travel length, and fixed pin shear loads.
Metastable Zone Width MSZW Calculator
Industrial crystallization control: Determine the maximum allowable subcooling ($\Delta T_{max}$), limit of metastability, and cooling rate sensitivity ($R = -dT/dt$) using Nývlt's nucleation model.
Methanol Fuel Cell Crossover Loss Calculator
Liquid fuel cell electrochemistry: Compute methanol crossover diffusion flux ($J_{cross}$), parasitic oxidation current density ($i_{cross}$), cathode mixed potential drop, and net fuel efficiency.
Meyerhof Bearing Capacity Calculator
Foundation Engineering: Determine ultimate and allowable bearing capacity ($q_{ult}$, $q_{all}$) for shallow footings using the Meyerhof general bearing capacity theory.
Michelson Interferometer Coherence Calculator
Optical metrology & coherence optics: Calculate temporal coherence length (L_c), Optical Path Difference (OPD), interference fringe visibility contrast (V), and phase shift.
Microbump Electromigration Life Calculator
Advanced Packaging Reliability: Determine electrical current density ($J$), Joule heating temperature rise ($\Delta T$), and electromigration Mean Time to Failure (MTTF) via Black's Law.
Microchannel Resistance & Flow Calculator
Laminar microchannel hydraulics: Calculate Poiseuille hydraulic resistance (\(R_h\)), pressure drop (\(\Delta P\)), wall shear stress (\(\tau_w\)), and creeping flow velocity.
Microfluidic Droplet Generator Calculator
Two-Phase Microfluidics: Compute droplet volume, generation frequency ($f$), Capillary number ($Ca$), and breakup regime in microfluidic cross-junctions.
Microfluidic Droplet Sizing Calculator
Droplet microfluidics: Calculate droplet diameter (\(d_{\text{drop}}\)), generation frequency (\(f\)), Capillary number (\(Ca\)), and dripping-jetting regimes.
Milk Evaporator Calculator - Falling Film Steam MVR
Model falling film evaporation rates, concentrate solids, Mechanical Vapor Recompression (MVR) electrical duties, and multi-effect steam economies.
Milk Homogenizer Pressure Calculator - Power Energy
Model two-stage high-pressure dairy homogenizers, hydraulic work, motor horsepower, fat globule submicron reduction, and friction temperature rise.
Milk Standardization Calculator - Pearson Square Fat
Model dairy fat standardization ratios, cream-to-skim blending proportions, centrifugal separator cream yields, and legal retail fat compliance.
Mine Methane Dilution Airflow Calculator
Compute required fresh ventilation airflow ($Q$) to dilute seam methane emissions below statutory safety thresholds (≤ 1.0% or 0.8% $\text{CH}_4$) and pre-drainage capture requirements.
Mine Ventilation Atkinson Resistance Calculator
Compute mine airway aerodynamic resistance ($R$), Atkinson friction factor ($k$), pressure drop ($p = R Q^2$), and fan air power for underground mining roadways.
Mixed Potential Evans Diagram Calculator
Electrochemical Corrosion Kinetics: Calculate open-circuit mixed potential ($E_{corr}$), corrosion current density ($i_{corr}$), and penetration rates from Evans diagrams.
Mixing Blend Time Calculator - Grenville 95% Homogeneity
Estimate 95% macro-mixing blend time (θ95) in turbulent baffled stirred tanks using the Grenville correlation and Norwood-Metzner equations.
Modal Bump Test Resonance Damping Calculator
Determine natural resonance frequencies, viscous damping ratio (ζ), quality factor (Q), amplification factor (AF), and API 610 / API 617 separation margins.
Moderator Temperature Coefficient Calculator
Reactor thermal hydraulics & safety: Calculate the Moderator Temperature Coefficient ($\alpha_M = d\rho / dT_{\text{mod}}$ in $\text{pcm/}^\circ\text{C}$), water expansion density feedback, and soluble boron chemical shim concentration effects.
Moens-Korteweg Pulse Wave Velocity Calculator
Vascular Biomechanics: Compute arterial pulse wave velocity ($PWV$), distensibility, and vascular wall elasticity ($E_{inc}$) from geometry and hemodynamics.
Mohr-Coulomb Shear Strength Calculator
Soil & rock constitutive mechanics: Compute Mohr-Coulomb failure envelopes, principal stresses (σ'₁, σ'₃), shear plane angle (θ_f), and mobilized safety factor.
Molecular Sieve Bed Sizing Calculator - 4A LNG Dry Sizing
Size Type 4A molecular sieve adsorption vessels, calculate required adsorbent mass, bed diameter/height, superficial velocity limits, and regeneration thermal duty for LNG cryogenic pretreatment.
Monopile Scour Depth Calculator
Coastal & Geotechnical: Calculate equilibrium seabed scour depth ($S_{eq}$) under waves/currents and size rock armor rip-rap protection ($D_{50}$).
Mooring Catenary Tension Calculator - API RP 2SK Fairlead
Calculate mooring line top tension at fairlead, catenary curve parameter, anchor touchdown point, and horizontal seabed pull per API RP 2SK & DNV-OS-E301.
Morison Equation Wave & Current Force Calculator
Calculate wave and current hydrodynamic forces per unit length on slender offshore tubulars, jacket legs, and risers via Morison's drag and inertia formulation.